Entries by Year

Entries from 1978

Title	Author	URL
Strongly regular graphs having strongly regular subconstituents	Peter J Cameron and Jean-Marie Goethals and Johan J Seidel	View
Hahn Polynomials, Discrete Harmonics, and t-Designs	Ph. Delsarte	View
The Krein condition, spherical designs, Norton algebras and permutation groups	Peter J Cameron and J.-M. Goethals and Johan J Seidel	View
Bounds for quaternionic line systems and reflection groups	S G Hoggar	View

Entries from 1979

Title	Author	URL
On tight spherical designs	Eiichi Bannai	View
New bounds on the number of unit spheres that can touch a unit sphere in n dimensions	Andrew M Odlyzko and Neil J A Sloane	View
Eigenvalue techniques in design and graph theory	Wilhelmus Hubertus Haemers	View
Discrete quadrature and bounds on t-designs.	Charles F Dunkl	View
On some spherical t-designs	Eiichi Bannai	View

Entries from 1980

Title	Author	URL
6-transitive graphs	Peter J Cameron	View
Distances, graphs and designs	Arnold Neumaier	View
Hamming Association Schemes and Codes on Spheres	Stuart P Lloyd	View

Entries from 1981

Title	Author	URL
Tables of sphere packings and spherical codes	N Sloane	View
Uniqueness of certain spherical codes	Eiichi Bannai and Neil J A Sloane	View
Cubature Formulae, Polytopes, and Spherical Designs	J M Goethals and J J Seidel	View
A new upper bound for the cardinality of 2-distance sets in Euclidean space	A Blokhuis	View
Every large set of equidistant (0, +1, -1)-vectors forms a sunflower	M Deza and P Frankl	View
The Geometry of African Art III. The Smoking Pipes of Begho	Donald W Crowe	View
Generation of Linear Groups	William M Kantor	View
Reconstruction with Arbitrary Directions: Dimensions Two and Three	F Alberto Grünbaum	View
Crystallography and Cremona Transformations	Patrick Du Val	View
Graphs and two-distance sets	J J Seidel	View

Entries from 1982

Title	Author	URL
t-Designs in projective spaces	Stuart G Hoggar	View
On Spherical t-designs in ℝ2	Yiming Hong	View
Recent bounds for codes, sphere packings and related problems obtained by linear programming and other methods	N J A Sloane	View
On s-distance subsets in real hyperbolic space	Eiichi BANNAI	View
Quadrature, Scattering, and Representations	WOODY LICHTENSTEIN	View

Entries from 1983

Title	Author	URL
Few-distance sets	Aart Blokhuis	View
New Results in the Theory of Packing and Covering	G Fejes Tóth	View
Graphs and association schemes, algebra and geometry	Johan Jacob Seidel and Aart Blokhuis and Hendrikus Adrianus Wilbrink and J P Boly and C P M van Hoesel	View
Lattices of Simplex Type	A Neumaier	View
On t-distance sets of (0, ±1)-vectors	M Deza and P Frankl	View
Identities and Inequalities via Symmetrization	Walter Schempp	View

Entries from 1984

Title	Author	URL
Averaging sets: a generalization of mean values and spherical designs	Paul D Seymour and Thomas Zaslavsky	View
Parameters of t-designs in FPd- 1	Stuart G Hoggar	View
Spherical t-designs which are orbits of finite groups	Eiichi Bannai	View
Special Functions: Group Theoretical Aspects and Applications	R. A. Askey and T. H. Koornwinder and W. Schempp	View
THE TIET; iVliINEN BOUND FOR SPHERICAL CODES	Jaakko T Astola	View
An addition formula for hyperbolic space	Eiichi Bannai and Aart Blokhuis and J J Seidel and Ph Delsarte	View
О четных унимодулярных экстремальных решетках	Борис Борисович Венков	View

Entries from 1985

Title	Author	URL
On tight t-designs in compact symmetric spaces of rank one	Eiichi Bannai and Stuart G Hoggar	View
Characerization of a class of distance regular graphs.	Arnold Neumaier	View
Bounds on the maximum number of vectors with given scalar products	M Deza and P Frankl	View

Entries from 1988

Title	Author	URL
Bounding the diameter of distance-regular graphs	C D Godsil	View
Polynomial spaces	Christopher David Godsil	View
Sharp characters of finite groups	Peter J Cameron and Masao Kiyota	View
Balanced sets and Q-polynomial association schemes	Paul Terwilliger	View
On extremal finite sets in the sphere and other metric spaces	Ei Bannai	View

Entries from 1989

Title	Author	URL
Fisher type inequalities for Euclidean t-designs	Ph Delsarte and J J Seidel	View
Tight t-designs and squarefree integers	Eiichi Bannai and Stuart G Hoggar	View
Tight 4 and 5-designs in projective spaces	S G Hoggar	View
Bounds on the Measurable Chromatic Number of Rn:“Sight may distinguish of colours; but suddenly To nominate them all,'s impossible.”-W. Shakespeare, King Henry VZ, Part ZZ.	László A Székely and Nicholas C Wormald	View
Duality in coherent configurations	A Neumaier	View
Distance-regular graphs and eigenvalue multiplicities	Ruopeng Rupert Zhu	View

Entries from 1990

Title	Author	URL
Reconstructing sets from interpoint distances	Skiena, Steven S and Smith, Warren D and Lemke, Paul	View
Orthogonal Polynomials in Coding Theory and Algebraic Combinatorics	Eiichi Bannai	View
Designs and approximation	J J Seidel	View

Entries from 1991

Title	Author	URL
Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems	Noga Alon and László Babai and Hiroshi Suzuki	View
On averaging sets	Gerold Wagner and Bodo Volkmann	View
Construction of designs on the 2-sphere	Bela Bajnok	View
Bounds for the number of nodes in Chebyshev type quadrature formulas	Patrick Rabau and Bela Bajnok	View
The football	J M Goethals and J J Seidel	View
Construction of spherical 4-and 5-designs	Bela Bajnok	View
The covering radius of spherical designs	Patrick Solé	View
Few-distance sets in Rp, q	A Blokhuis and J J Seidel	View
Strongly regular graphs having strongly regular subconstituents	Peter J Cameron and Jean-Marie Goethals and Johan J Seidel	View
Concatenated spherical codes codes sphériques concaténés	Th. Ericson and V A Zinoviev	View
Каскадный метод построения сферических кодов в n-размерном евклидовом пространстве	Стефан Манев Додунеков and Виктор Александрович Зиновьев and Томас Эриксон	View

Entries from 1992

Title	Author	URL
Designs and their Codes	Edward F Assmus and Jennifer D Key	View
Sum of even powers of real linear forms	Bruce Arie Reznick	View
Designs as maximum codes in polynomial metric spaces	V I Levenshtein	View
Construction of spherical t-designs	Bela Bajnok	View
New spherical 4-designs	Ronald H Hardin and Neil J A Sloane	View
Krein covers of complete graphs.	Chris D Godsil	View
Measures of strength 2e and optimal designs of degree e	A Neumaier and J J Seidel	View
t-designs with general angle set	Stuart G Hoggar	View
On the Existence-Problem for Gauss-Quadrature on the Sphere	M Reimer	View
On some non-rigid spherical t-designs	Go Seki	View
Новые упаковки на евклидовой сфере для конечных размерностей	Виктор Александрович Зиновьев and Томас Эриксон	View

Entries from 1993

Title	Author	URL
A new approach to the construction of optimal designs	R H Hardin and N J A Sloane	View
Spherical faraday cage for the case of equal point charges and chebyshev-type quadrature on the sphere	J Korevaar and J L H Meyers	View
Isometric embed-dings between classical Banach spaces, cubature formulas, and spherical designs	Yuri I Lyubich and Leonid N Vaserstein	View
Spherical designs, discrepancy and numerical integration	Peter J Grabner and Robert F Tichy	View
The minimal number of nodes in Chebyshev type quadrature formulas	Arno Kuijlaars	View
Nonexistence of certain symmetric spherical codes	Peter Boyvalenkov	View
Distance-regular graphs with an eigenvalue of multiplicity four	Rupert Ruopeng Zhu	View
On the rigidity of some spherical 2-designs	Attila Sali	View
Bounds for codes as solutions of extremum problems for systems of orthogonal polynomials	Vladimir Levenshtein	View
Packing and decomposition problems for polynomial association schemes	Vladimir I Levenshtein	View

Entries from 1994

Title	Author	URL
On the rigidity of spherical t-designs that are orbits of finite reflection groups	Attila Sali	View
Isometric embeddings and geometric designs	J J Seidel	View
Quadrature Rules for the Surface Integral of the Unit Sphere Based on Extremal Fundamental Systems	M Reimer	View
Chebyshev-type quadratures: use of complex analysis and potential theory	Jacob Korevaar	View
Euclidean representations and substructures of distance-regular graphs	Jacobus Hendricus Koolen	View
New lower bounds for some spherical designs	Peter Boyvalenkov and Svetla Nikova	View
Nonexistence of certain spherical codes	Peter Boyvalenkov and Peter Kazakov	View
On the classification of the tight spherical designs	Peter G Boyvalenkov	View
Spontaneous symmetry breaking in a solvable nuclear model	D B Stout	View

Entries from 1995

Title	Author	URL
Interlacing eigenvalues and graphs	Willem H Haemers	View
Polynomial interpolation and hyperinterpolation over general regions	Ian H Sloan	View
Spherical codes generated by binary partitions of symmetric pointsets	Thomas Ericson and Victor Zinoviev	View
On upper bounds for code distance and covering radius of designs in polynomial metric spaces	Gábor Fazekas and Vladimir I Levenshtein	View
On the distance distribution of codes	Gil Kalai and Nathan Linial	View
Extremal polynomials for obtaining bounds for spherical codes and designs	P Boyvalenkov	View
Computing distance distributions of spherical designs	Peter Boyvalenkov	View
Some constructions of spherical 5-designs	Bruce Reznick	View
Isometric imbeddings of Euclidean spaces into finite dimensional l_p-spaces	Hermann König	View
Analytic properties and Cremona approximation of transfer maps for Hamiltonian systems	Dan Tyler Abell	View
New spherical designs in three and four dimensions	R H Hardin and N J A Sloane	View
Euclidean geometry of distance regular graphs	C D Godsil	View
On maximal spherical codes I	Peter Boyvalenkov and Ivan Landgev	View
Equidistant families of sets	Yury J Ionin and Mohan S Shrikhande	View
Asymptotically optimal spherical codes	Jon Hamkins and Kenneth Zeger	View
New upper bounds for some spherical codes	Peter Boyvalenkov and Peter Kazakov	View

Entries from 1996

Title	Author	URL
McLaren's improved snub cube and other new spherical designs in three dimensions	R H Hardin and N J A Sloane	View
Upper bounds on the minimum distance of spherical codes	Peter G Boyvalenkov and Danyo P Danev and Silvya P Bumova	View
Design and analysis of spherical codes	Jon Hamkins	View
Approximate and exact consistency of histories	J N McElwaine	View
Two external problems for trigonometric polynomials	Vladimir Alexandrovich Yudin	View
Some characterizations of spherical designs with small cardinalities	P Boyvalenkov and S Nikova	View
Distance-regular graphs having an eigenvalue of small multiplicity	William J Martin and Rupert Ruopeng Zhu	View

Entries from 1997

Title	Author	URL
Distributing many points on a sphere	Edward B Saff and Amo B J Kuijlaars	View
Equidistribution on the Sphere	Jianjun Cui and Willi Freeden	View
Asymptotically dense spherical codes. I. Wrapped spherical codes	Jon Hamkins and Kenneth Zeger	View
Lower bounds for spherical designs	Vladimir Alexandrovich Yudin	View
Discrepancies of point sequences on the sphere and numerical integration	Peter J Grabner and Bernhard Klinger and Robert F Tichy	View
On maximal codes in polynomial metric spaces	Peter Boyvalenkov and Danyo Danev	View
Efficient sampling methods for combinations of signs, phases, hyperphases, and molecular orientations	Gérard Bricogne	View
On lower bounds on the size of designs in compact symmetric spaces of rank 1	Peter Boyvalenkov and Svetla Nikova	View
Codes and designs	V A Yudin	View
Код и дизайн	Владимир Александрович Юдин	View
On the Besicovitch constant in small dimensions	Peter Boyvalenkov	View
On Association Schemes of Balanced Property with m_1= 4(Groups and Combinatorics)	Eiichi Bannai and Attila Sali	View

Entries from 1998

Title	Author	URL
Universal bounds for codes and designs	Vladimir I Levenshtein	View
Association schemes and coding theory	Philippe Delsarte and Vladimir I Levenshtein	View
Orthogonal and Nonorthogonal Multiresolution Analysis, Scale Discrete and Exact Fully Discrete Wavelet Transform on the Sphere	W Freeden and M Schreiner	View
On designs in compact metric spaces and a universal bound on their size	Vladimir Levenshtein	View
Constructions of Spherical 3-Designs	Béla Bajnok	View
Improvements of the lower bounds on the size of some spherical designs	Peter Boyvalenkov and Svetla Nikova	View
On linear programming bounds for codes in polynomial metric spaces	Peter Boyvalenkov and Danyo Danev	View
On Cherednik-Macdonald-Mehta identities	Pavel Etingof and Alexander Kirillov Jr	View
Multivariate approximation on spheres, a reproducing kernel approach	QUOC THONG LE GIA	View
On the structure of spherical (2k)-designs	P Boyvalenkov and S P Bumova and D K Donev	View
О границах линейного программирования для кодов в полиномиальных метрических пространствах	Петър Бойваленков and Даньо Данев	View

Entries from 1999

Title	Author	URL
Permutation groups	Peter J Cameron	View
The distribution of points on the sphere and corresponding cubature formulae	Jörg Fliege and Ulrike Maier	View
Grundzüge einer nichtkommutativen Designtheorie	Gerhard Zauner	View
On harmonic weight enumerators of binary codes	Christine Bachoc	View
Necessary conditions for existence of some designs in polynomial metric spaces	PETER Boyvalenkov and SILVIA Boumova and Danyo Danev	View
Deuteron electromagnetic form factors in the light-front dynamics	J Carbonell and V A Karmanov	View
On maximal Spherical codes II	Peter Boyvalenkov and Danyo Danev and Ivan Landgev	View
A spherical code	V V Andreev	View
Quantum designs	Gerhard Zauner	View
Spherical 7-designs in 2 n-dimensional Euclidean space	V M Sidelnikov	View
Nonexistence of Certain Spherical Designs of Odd Strengths and Cardinalities	P Boyvalenkov and D Danev and S Nikova	View
Extremal polynomials of degree τ+ 2 and τ+ 3, which improve the Delsarte bound for τ-designs	S I Nikova and V S Nikov	View
Новые нижние оценки на контактное число для небольших размерностей	Виктор Александрович Зиновьев and Томас Эриксон	View
Average case analysis of numerical integration	Peter J Grabner and Pierre Liardet and Robert F Tichy	View
О вариациях дизайнов	Владимир Александрович Юдин	View
Один сферический код	Николай Николаевич Андреев	View
Орбитные сферические 11-дизайны, у которых начальная точка–корень инвариантного многочлена	Владимир Михайлович Сидельников	View

Entries from 2000

Title	Author	URL
Directional methods for structural reliability analysis	Jinsuo Nie and Bruce R Ellingwood	View
A new upper bound on the reliability function of the Gaussian channel	Alexei E Ashikhmin and Alexander Barg and Simon N Litsyn	View
A minimal design of order 11 on the 3-sphere	N N Andreev	View
Estimates of the maximal value of angular code distance for 24 and 25 points on the unit sphere in ℝ 4	V V Arestov and A G Babenko	View
Recent Progress in Polyhedral Harmonics	Katsunori Iwasaki	View
Spherical Designs and Generalized Sum-Free Sets in Abelian Groups	Béla Bajnok	View
минимальный дизайн-го порядка на трехмерной сфере	Николай Николаевич Андреев	View
Orbital spherical 11-designs whose initial point is root of an invariant polynomial	V M Sidel'nikov	View
The search for good polynomial interpolation points on the sphere	I H Sloan and R S Womersley	View
Moments of spherical codes and designs	K Andreev and S Boumova and P Boyvalenkov	View
Оценки максимального значения углового кодового расстояния для 24 и 25 точек на единичной сфере в	Виталий Владимирович Арестов and Александр Григорьевич Бабенко	View

Entries from 2001

Title	Author	URL
Modular forms, lattices and spherical designs	Christine Bachoc and Boris Venkov	View
Uniqueness of the 120-point spherical 11-design in four dimensions	None	View
Definitions for spherical designs	J J Seidel	View
Polynomials of least deviation from zero and Chebyshev-type cubature formulas	Nikolai Nikolaevich Andreev and Vladimir Alexandrovich Yudin	View
Euclidean Subspaces of the Complex Spaces ℓ p n Constructed by Orbits of Finite Subgroups of SU(m)	Yuri I Lyubich and Oksana A Shatalova	View
Наименее уклоняющиеся от нуля многочлены и кубатурные формулы чебышевского типа	Николай Николаевич Андреев and Владимир Александрович Юдин	View
Groupes engendrés par des réflexions, designs sphériques et réseau de Leech	Pierre de La Harpe and Boris Venkov	View
Improvement of the Delsarte Bound for τ-Designs in Finite Polynomial Metric Spaces	Svetla Nikova and Ventzislav Nikov	View

Entries from 2002

Title	Author	URL
Designs in Grassmannian spaces and lattices	Christine Bachoc and Renaud Coulangeon and Gabriele Nebe	View
Signed frames and Hadamard products of Gram matrices	Irine Peng and Shayne Waldron	View
Spherical codes and Borsuk's conjecture	Aicke Hinrichs	View
On a Use of Golay Sequences for Asynchronous DS CDMA Applications	Jennifer R Seberry and Beata J Wysocki and Tadeusz A Wysocki	View
Golay sequences for DS CDMA applications	Jennifer Seberry and Beata J Wysocki and Tadeusz A Wysocki	View
Applications of polynomials to spherical codes and designs	Silvia Parvanova Boumova	View
Improved Linear Programming Bounds for Antipodal Spherical Codes	Anstreicher	View
Zonal functions for the unitary groups and applications to hermitian lattices	Christine Bachoc and Gabriele Nebe	View

Entries from 2003

Title	Author	URL
Grassmannian frames with applications to coding and communication	Thomas Strohmer and Robert W Heath Jr	View
Generalized Welch bound equality sequences are tight frames	Shayne Waldron	View
Discrete and Computational Geometry: The Goodman-Pollack Festschrift	Boris Aronov and Saugata Basu and János Pach and Micha Sharir	View
Self-dual codes over the Kleinian four group	Gerald Höhn	View
Energy functionals, numerical integration and asymptotic equidistribution on the sphere	Steven B Damelin and Peter J Grabner	View
New sets with large Borsuk numbers	Aicke Hinrichs and Christian Richter	View
Unification of zero-sum problems, subset sums and covers of ℤ	Zhi-Wei Sun	View
Convex optimization over non-negative polynomials: structured algorithms and applications	Yvan Hachez	View
Spherical designs in four dimensions	Neil J A Sloane and Ronald H Hardin and Philippe Cara	View
Lower bound for the number of nodes of cubature formulae on the unit ball	Yuan Xu	View
Improvement of the Delsarte Bound for τ-Designs When It Is Not the Best Bound Possible	Svetla Nikova and Ventzislav Nikov	View
New nonexistence results for spherical designs	Silvia Boumova and Peter Boyvalenkov and Danyo Danev	View
An Upper Bound for the Cardinality of an s-Distance Set in Euclidean Space	Etsuko Bannai and Kazuki Kawasaki and Yusuke Nitamizu and Teppei Sato	View
Approximation of linear partial differential equations on spheres	Quoc Thong Le Gia	View
An extremum problem for polynomials and bounds for codes with given distance and diameter	G Fazekas	View
Interpolaçao e hiperinterpolaçao em esferas	Ana Carla Piantella	View

Entries from 2004

Title	Author	URL
Experimentation in mathematics: Computational paths to discovery	Jonathan M Borwein and David H Bailey and Roland Girgensohn	View
Kissing numbers, sphere packings, and some unexpected proofs	Florian Pfender and Günter M Ziegler	View
Strongly regular graphs	Peter J Cameron	View
Combinatorics	László Lovász and Hans Jürgen Prömel	View
The nonexistence of certain tight spherical designs	Eiichi Bannai and Akihiro Munemasa and Boris Borisovich Venkov	View
A new directional simulation method for system reliability. Part I: application of deterministic point sets	Nie, Jinsuo and Ellingwood, Bruce R	View
Applications of spherical designs to Banach space theory	K{\"o	View
The densest lattice in twenty-four dimensions	Henry Cohn and Abhinav Kumar	View
Codes and designs in Grassmannian spaces	Christine Bachoc and Eiichi Bannai and Renaud Coulangeon	View
The Thirteen Spheres: A New Proof	Kurt M Anstreicher	View
Galerkin approximation for elliptic PDEs on spheres	Quoc Thong Le Gia	View
Isometric embeddings of finite-dimensional l_p-spaces over the quaternions	Yurii Il'ich Lyubich and O A Shatalova	View
The Sylvester-Ramanujan System of Equations and The Complex Power Moment Problem	Yuri I Lyubich	View
Spherical designs and finite group representations (some results of E. Bannai)	Pierre de La Harpe and Claude Pache	View
Extended near hexagons and line systems	Hans Cuypers	View
On the number of nodes in n-dimensional cubature formulae of degree 5 for integrals over the ball	M V Noskov and H J Schmid	View
Spherical 5-designs obtained from finite unitary groups	Akihiro Munemasa	View
The spanning number and the independence number of a subset of an abelian group	Béla Bajnok	View
On Linear Programming Bounds for Spherical Codes and Designs	Alex Samorodnitsky	View
Spherical 2-distance sets which are spherical 3-designs	Peter Boyvalenkov and Maya Stoyanova	View
Linear programming bounds for spherical codes and designs	P G Boyvalenkov and Danyo Danev	View
Some methods for investigation of spherical designs	P G Boyvalenkov and M M Stoyanova	View
Sur le spectre des opérateurs de Markov de designs sphériques	Claude Pache	View
Document de synthese en vue de l’habilitationa diriger des recherches	Renaud Coulangeon	View

Entries from 2005

Title	Author	URL
Cubature Formulas, Geometrical Designs, Reproducing Kernels, and Markov Operators	Pierre De La Harpe and Claude Pache	View
Worst-case errors in a Sobolev space setting for cubature over the sphere S2	Kerstin Hesse and Ian H Sloan	View
SHELLS OF SELFDUAL LATTICES VIEWED AS SPHERICAL DESIGNS	Claude Pache	View
Tight Gaussian 4-Designs	Eiichi Bannai and Etsuko Bannai	View
Isometric embeddings of finite-dimensional ℓ_ \{𝑝\	Yu Lyubich and O Shatalova	View
Distribution of the points of a design on the sphere	Vladimir Alexandrovich Yudin	View
Designs, groups and lattices	Christine Bachoc	View
A Note on the Tight Spherical 7-Design in $$\\{\{\textbackslash\	Hans Cuypers	View
Matrix Groups Related to the Quaternion Group and Spherical Orbit Codes	A.Ya. Dorofeev and L S Kazarin and V M Sidelnikov and M E Tuzhilin	View
Improved Delsarte bounds via extension of the function space	Florian Pfender	View
Распределение точек дизайна на сфере	Владимир Александрович Юдин	View

Entries from 2006

Title	Author	URL
Tight informationally complete quantum measurements	Andrew J Scott	View
Self-Dual Codes and Invariant Theory	Gabriele and Rains, Eric M and Sloane, Neil James Alexander and others Nebe	View
Complex codebooks from combinatorial designs	Cunsheng Ding	View
Existence of Solutions to Systems of Underdetermined Equations and Spherical Designs	Xiaojun Chen and Robert S Womersley	View
On SIC-POVMs in prime dimensions	Steven T Flammia	View
Hyperinterpolation on the sphere	Kerstin Hesse and Ian H Sloan	View
Linear programming bounds for codes in Grassmannian spaces	Christine Bachoc	View
Spherical designs attached to extremal lattices and the modulo p property of Fourier coefficients of extremal modular forms	Eiichi Bannai and Masao Koike and Masashi Shinohara and Makoto Tagami	View
On Euclidean tight 4-designs	Eiichi Bannai and Etsuko Bannai	View
On antipodal Euclidean tight (2e+ 1)-designs	Etsuko Bannai	View
Numerical Cubature from Archimedes' Hat-box Theorem	Greg Kuperberg	View
On Euclidean designs	Béla Bajnok	View
Spectral approach to linear programming bounds on codes	A M Barg and D Yu. Nogin	View
A Proof and Generalizations of the Erdős-Ko-Rado Theorem Using the Method of Linearly Independent Polynomials	Zoltán Füredi and Kyung-Won Hwang and Paul M Weichsel	View
The one-sided kissing number in four dimensions	Oleg R Musin	View
Finite groups admitting grassmannian 4-designs	Pham Huu Tiep	View
Improved upper bounds on the reliability function of the Gaussian channel	Yael Ben-Haim and Simon Litsyn	View
The kissing number in four dimensions	Oleg R Musin	View
On optimal tight 4-designs on 2 concentric spheres	Eiichi Bannai and Etsuko Bannai	View
Uncertainty principles for orthonormal bases	Philippe Jaming	View
Frontiers in interpolation and approximation	Narendra Kumar Govil and Hrushikesh Narhar Mhaskar and Ram N Mohapatra and Zuhair Nashed and József Szabados	View
Espaces polynomiaux et formules de cubature	Claude Pache	View

Entries from 2007

Title	Author	URL
Universally optimal distribution of points on spheres	Henry Cohn and Abhinav Kumar	View
Quantum t-designs: t-wise independence in the quantum world	Andris Ambainis and Joseph Emerson	View
On the existence of equiangular tight frames	Mátyás A Sustik and Joel A Tropp and Inderjit S Dhillon and Robert W Heath Jr	View
Quaternions in molecular modeling	Charles F F Karney	View
A generic construction of complex codebooks meeting the Welch bound	Cunsheng Ding and Tao Feng	View
Weighted complex projective 2-designs from bases: optimal state determination by orthogonal measurements	Aidan Roy and A J Scott	View
Selbstduale Vertexoperatorsuperalgebren und das Babymonster (Self-dual Vertex Operator Super Algebras and the Baby Monster)	Gerald Hoehn	View
Distributing points on the sphere: partitions, separation, quadrature and energy.	Paul C Leopardi	View
Uncertainty principles for orthonormal sequences	Philippe Jaming and Alexander M Powell	View
Imprimitive cometric association schemes: Constructions and analysis	William J Martin and Mikhail Muzychuk and Jason Williford	View
Fast algorithms for signal reconstruction without phase	Radu Balan and Bernhard G Bodmann and Peter G Casazza and Dan Edidin	View
The D 4 Root System Is Not Universally Optimal	Henry Cohn and John H Conway and Noam D Elkies and Abhinav Kumar	View
Construction of spherical cubature formulas using lattices	Pierre de La Harpe and Claude Pache and Boris Venkov	View
Codes in spherical caps	Alexander Barg and Oleg R Musin	View
Orbits of the hyperoctahedral group as Euclidean designs	Béla Bajnok	View
Improved Delsarte bounds for spherical codes in small dimensions	Florian Pfender	View
Uniqueness of the (22,891, 1/4) spherical code	Henry Cohn and Abhinav Kumar	View
On the strong non-rigidity of certain tight Euclidean designs	Eiichi Bannai and Etsuko Bannai and Djoko Suprijanto	View
Efficient 2-designs from bases exist	Gary McConnell and David Gross	View
A component-by-component approach to efficient numerical integration over products of spheres	Kerstin Hesse and Frances Y Kuo and Ian H Sloan	View
Semidefinite programming bounds for spherical codes	Christine Bachoc and Frank Vallentin	View
SIC-POVMs exist in all dimensions	Joanne L Hall and Asha Rao	View
On the Construction of Spherical Designs	L C Leal Junior and Valdir Antônio Menegatto	View

Entries from 2008

Title	Author	URL
New upper bounds for kissing numbers from semidefinite programming	Christine Bachoc and Frank Vallentin	View
The kissing number in four dimensions	Oleg R Musin	View
Sphere packings	Chuanming Zong	View
Optimizing quantum process tomography with unitary 2-designs	Andrew James Scott	View
Selective and Efficient Estimation of Parameters for Quantum Process Tomography	Ariel Bendersky and Fernando Pastawski and Juan Pablo Paz	View
Codebooks from almost difference sets	Cunsheng Ding and Tao Feng	View
Conformal designs based on vertex operator algebras	Gerald Höhn	View
Frames for linear reconstruction without phase	Bernhard G Bodmann and Peter G Casazza and Dan Edidin and Radu Balan	View
On Weyl-Heisenberg orbits of equiangular lines	Mahdad Khatirinejad	View
Gaining information about a quantum channel via twirling	Easwar Magesan	View
On the rigidity of spherical t-designs that are orbits of reflection groups E8 and H4	Nozaki, Hiroshi	View
The Coulomb energy of spherical designs on S 2	Kerstin Hesse and Paul Leopardi	View
Bounds for codes by semidefinite programming	O R Musin	View
Lecture notes: Semidefinite programs and harmonic analysis	Frank Vallentin	View
On antipodal spherical t-designs of degree s with t>=2s-3	Eiichi Bannai and Etsuko Bannai	View
Welch bounds and quantum state tomography	Aleksandrs Belovs	View
New asymptotic estimates for spherical designs	Andriy V Bondarenko and Maryna S Viazovska	View
Constantes d'Hermite et théorie de Voronoï	Bertrand Meyer	View
Extremality and designs in spaces of quadratic forms	Claude Pache	View
Nonexistence results for spherical 7-designs	Silvia Boumova and Peter Boyvalenkov and M M Stoyanova	View
Selective Efficient Quantum Process Tomography	Ariel Bendersky and Fernando Pastawski and Juan Pablo Paz	View
Regular structures of lines in complex spaces	Mahdad Khatirinejad Fard	View
On 3-lattices and spherical designs	Junichi Shigezumi	View
Problèmes de construction de type polynomial II–Quelques résultats d'existence de plans sphériques isovariants exacts	Frédéric Bertrand	View

Entries from 2009

Title	Author	URL
Painless Reconstruction from Magnitudes of Frame Coefficients	Radu Balan and Bernhard G Bodmann and Peter G Casazza and Dan Edidin	View
A survey on spherical designs and algebraic combinatorics on spheres	Eiichi Bannai and Etsuko Bannai	View
Optimality and uniqueness of the Leech lattice among lattices	Henry Cohn and Abhinav Kumar	View
Unitary designs and codes	Aidan Roy and A J Scott	View
A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6	Philippe Jaming and Máté Matolcsi and Péter Móra and Ferenc Szöll\Hosi and Mihály Weiner	View
Spherical two-distance sets	Oleg R Musin	View
Optimal quantum tomography	Alessandro Bisio and Giulio Chiribella and Giacomo Mauro D'Ariano and Stefano Facchini and Paolo Perinotti	View
Selective and efficient quantum process tomography	Ariel Bendersky and Fernando Pastawski and Juan Pablo Paz	View
A variational characterisation of spherical designs	Ian H Sloan and Robert S Womersley	View
Lower Bounds for Measurable Chromatic Numbers	Christine Bachoc and Gabriele Nebe and Fernando Mário De Oliveira Filho and Frank Vallentin	View
Optimality and uniqueness of the (4, 10, 1/6) spherical code	Christine Bachoc and Frank Vallentin	View
Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps	Christine Bachoc and Frank Vallentin	View
There are finitely many Q-polynomial association schemes with given first multiplicity at least three	William J Martin and Jason S Williford	View
Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets	Kanat Abdukhalikov and Eiichi Bannai and Sho Suda	View
On tight projective designs	Yu. I Lyubich	View
Polynomial techniques for investigation of spherical designs	Silvia Boumova and Peter Boyvalenkov and Hristina Kulina and Maya Stoyanova	View
New examples of Euclidean tight 4-designs	Etsuko Bannai	View
On Minimal Cubature Formulae of Small Degree for Spherically Symmetric Integrals	Masatake Hirao and Masanori Sawa	View
Lower bounds for projective designs, cubature formulas and related isometric embeddings	Yu I Lyubich	View
Positive definite functions in distance geometry	Oleg R Musin	View
The s-energy of spherical designs on S 2	Kerstin Hesse	View
Characterizations of central symmetry for convex bodies in Minkowski spaces	Gennadiy Averkov and Endre Makai and Horst Martini	View
A method for proving nonexistence of spherical designs of odd strength and odd cardinality	S Boumova and P Boyvalenkov and M Stoyanova	View
Extreme lattices and vexillar designs	Bertrand Meyer	View
On lattices whose minimal vectors form a 6-design	Gabriele Nebe and Boris Venkov	View
Characterizations of regularity for certain Q-polynomial association schemes	Sho Suda	View
Numerical verification methods for spherical t-designs	Xiaojun Chen	View
Códigos esféricos em toros planares	Cristiano Torezzan	View
Invariants and Chebyshev polynomials	V A Yudin	View

Entries from 2010

Title	Author	URL
Jammed hard-particle packings: From Kepler to Bernal and beyond	S Torquato and F H Stillinger	View
CRC handbook of combinatorial designs	Charles J Colbourn	View
Numerical integration on the sphere	Kerstin Hesse and Ian H Sloan and Robert S Womersley	View
Symmetric informationally complete positive-operator-valued measures: A new computer study	None	View
Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere	Congpei An and Xiaojun Chen and Ian H Sloan and Robert S Womersley	View
Spherical designs and anticoherent spin states	Jason Crann and Rajesh Pereira and David W Kribs	View
On the equivalence between real mutually unbiased bases and a certain class of association schemes	Nicholas LeCompte and William J Martin and William Owens	View
Selective and Efficient Quantum Process Tomography with Single Photons	Christian Tomás Schmiegelow and Miguel Antonio Larotonda and Juan Pablo Paz	View
Two-qubit symmetric informationally complete positive-operator-valued measures	Huangjun Zhu and Yong Siah Teo and Berthold-Georg Englert	View
Orientational sampling schemes based on four dimensional polytopes	Salvatore Mamone and Giuseppe Pileio and Malcolm H Levitt	View
Bounds on sets with few distances	Alexander Barg and Oleg R Musin	View
Toy models for DH Lehmer's conjecture	Eiichi Bannai and Tsuyoshi Miezaki	View
Cubature formulas in numerical analysis and Euclidean tight designs	Eiichi Bannai and Etsuko Bannai and Masatake Hirao and Masanori Sawa	View
Spherical Designs via Brouwer Fixed Point Theorem	Andriy V Bondarenko and Maryna S Viazovska	View
Semidefinite programming, harmonic analysis and coding theory	Christine Bachoc	View
Euclidean designs and coherent configurations	Eiichi Bannai and Etsuko Bannai	View
Coherent configurations and triply regular association schemes obtained from spherical designs	Sho Suda	View
Observing different phases for the dynamics of entanglement in an ion trap	Cecilia Cormick and Juan Pablo Paz	View
On a generalization of distance sets	Hiroshi Nozaki and Masashi Shinohara	View
Point configurations that are asymmetric yet balanced	Henry Cohn and Noam Elkies and Abhinav Kumar and Achill Schürmann	View
CODING THEORY AND ALGEBRAIC COMBINATORICS	Michael Huber	View
Applications of semidefinite programming to coding theory	Christine Bachoc	View
New upper bound for the cardinalities of s-distance sets on the unit sphere	Hiroshi Nozaki	View
Earth magnetic field modeling from Oersted and Champ data	J L Le Mouël and P Shebalin and A Khokhlov	View
Non-redundant tensor decomposition	Olexiy Olexandrovych Kyrgyzov	View
Tests of Non-Equivalence among Absolutely Nonsingular Tensors through Geometric Invariants	Toshio Sakata and Kazumitsu Maehra and Takeshi Sasaki and Toshio Sumi and Mitsuhiro Miyazaki and Yoshitaka Watanabe	View
Closing the Case t= 3 for 3-D Spherical t-Designs Using a Result-Verifying Nonlinear Solver.	Thomas Beelitz and Bruno Lang and Peer Ueberholz and Paul R Willems	View
A new asymptotic bound of the minimum possible odd cardinality of spherical (2k- 1)-designs	Peter Boyvalenkov and Maya Stoyanova	View
Экстремальные свойства сферических полудизайнов	Надежда Олеговна Котелина and Александр Борисович Певный	View
On tight Euclidean $6$-designs: an experimental result	Djoko Suprijanto	View
The sphere by itself: can we distribute points on it evenly?	Marcel Berger	View
Geometrical approach to Seidel's switching for strongly regular graphs	Hiroshi Nozaki	View
Представление Гаусса для однородных полиномов и критерий сферического дизайна	Р Е Афонин and А Б Певный	View
Оценка снизу мощности 7-дизайна на сфере S2	Д В Горбачев	View
Оценка снизу количества элементов сферического дизайна с помощью линейного программирования	Н О Котелина	View

Entries from 2011

Title	Author	URL
Spectra of graphs	Andries E Brouwer and Willem H Haemers	View
QUANTUM DESIGNS: FOUNDATIONS OF A NONCOMMUTATIVE DESIGN THEORY	Gerhard Zauner	View
On the computation of spherical designs by a new optimization approach based on fast spherical Fourier transforms	Manuel Gräf and Daniel Potts	View
Computational existence proofs for spherical t-designs	Xiaojun Chen and Andreas Frommer and Bruno Lang	View
Incidence geometry from an algebraic graph theory point of view	Frédéric Vanhove	View
Selective and Efficient Quantum Process Tomography without Ancilla	Christian Tomás Schmiegelow and Ariel Bendersky and Miguel Antonio Larotonda and Juan Pablo Paz	View
Order and Disorder in Energy Minimization	Henry Cohn	View
A generalization of Larman–Rogers–Seidel's theorem	Hiroshi Nozaki	View
Bounds on three-and higher-distance sets	Oleg R Musin and Hiroshi Nozaki	View
Rigidity of spherical codes	Henry Cohn and Yang Jiao and Abhinav Kumar and Salvatore Torquato	View
A note on anticoherent spin states	Eiichi Bannai and Makoto Tagami	View
An elementary approach to toy models for DH Lehmer's conjecture	Eiichi Bannai and Tsuyoshi Miezaki and Vladimir A Yudin	View
The Venkov inequality with weights and weighted spherical half-designs.	N Kotelina and A Pevnyi	View
Tight 9-designs on two concentric spheres	Eiichi Bannai and Etsuko Bannai	View
A characterization of Q-polynomial association schemes	Hirotake Kurihara and Hiroshi Nozaki	View
On spherical designs obtained from Q-polynomial association schemes	Sho Suda	View
On the number of lattice points in a small sphere	Annika Meyer	View
Bounds on s-Distance Sets with Strength t	Hiroshi Nozaki and Sho Suda	View
On Euclidean designs and the potential energy	Tsuyoshi Miezaki and Makoto Tagami	View
On the existence of spherical (t, t)–designs	Jennifer Bramwell	View
Distribution of points on the sphere and spherical designs	Congpei An	View
Some remarks on Euclidean tight designs	Masatake Hirao and Masanori Sawa and Yuanyuan Zhou	View
On Elliptic Curves, the ABC Conjecture, and Polynomial Threshold Functions	Daniel Mertz Kane	View
Exact point-distributions over the complex sphere	V A Menegatto and C P Oliveira and A P Peron	View
Inside S-inner product sets and Euclidean designs	Hiroshi Nozaki	View
Оценки Дельсарта для количества элементов сферического дизайна	Роман Евгеньевич Афонин and Василий Николаевич Малозёмов and Александр Борисович Певный	View
Методы оценивания контактных чисел	Надежда Олеговна Котелина	View

Entries from 2012

Title	Author	URL
Distance-Regular Graphs	Andries E Brouwer and Willem H Haemers	View
Strongly Regular Graphs	Andries E Brouwer and Willem H Haemers	View
Invariant Semidefinite Programs	Christine Bachoc and Dion C Gijswijt and Alexander Schrijver and Frank Vallentin	View
Minimization of the probabilistic p-frame potential	Martin Ehler and Kasso A Okoudjou	View
Quantum state estimation and symmetric informationally complete POMs	Zhu Huangjun	View
Point Sets on the Sphere with Small Spherical Cap Discrepancy	C Aistleitner and J S Brauchart and J Dick	View
Geometry of the Welch bounds	Somantika Datta and Stephen Howard and Douglas Cochran	View
Regularized Least Squares Approximations on the Sphere Using Spherical Designs	Congpei An and Xiaojun Chen and Ian H Sloan and Robert S Womersley	View
Quadrature Errors, Discrepancies, and Their Relations to Halftoning on the Torus and the Sphere	Manuel Gräf and Daniel Potts and Gabriele Steidl	View
Random Tight Frames	M Ehler	View
Numerical integration with polynomial exactness over a spherical cap	Kerstin Hesse and Robert S Womersley	View
Remarks on the concepts of t-designs	Eiichi Bannai and Etsuko Bannai	View
An even unimodular 72-dimensional lattice of minimum 8	Gabriele Nebe	View
The simplest demonstrations of quantum nonlocality	Dylan J Saunders and Matthew S Palsson and Geoff J Pryde and Andrew J Scott and Stephen M Barnett and Howard M Wiseman	View
Inhomogeneous extreme forms	Mathieu Dutour Sikirić and Achill Schürmann and Frank Vallentin	View
A geometrical characterization of strongly regular graphs	Hiroshi Nozaki and Masashi Shinohara	View
A computational framework for experimental design in diffusion MRI	Emmanuel Caruyer and Rachid Deriche	View
Almost-uniform sampling of rotations for conformational searches in robotics and structural biology	Yan Yan and Gregory S Chirikjian	View
Note on cubature formulae and designs obtained from group orbits	Hiroshi Nozaki and Masanori Sawa	View
Mathematical aspects of molecular replacement. II. Geometry of motion spaces	Gregory S Chirikjian and Yan Yan	View
Frames, group codes, and subgroups of (Z/pZ) ×	Matthew Thill and Babak Hassibi	View
Minimal weighted 4-designs on the sphere S.	A Bondarenko and D Gorbachev	View
On Q-polynomial association schemes of small class	Sho Suda	View
Characterizing noise in quantum systems	Easwar Magesan	View
Cubic harmonics and Bernoulli numbers	Katsunori Iwasaki	View
A New Euclidean Tight 6-Design	Eiichi Bannai and Etsuko Bannai and Junichi Shigezumi	View
Discrete spherical means of directional derivatives and Veronese maps	Alexander Belyaev and Boris Khesin and Serge Tabachnikov	View
A New Approach for the Existence Problem of Minimal Cubature Formulas Based on the Larman--Rogers--Seidel Theorem	Masatake Hirao and Hiroshi Nozaki and Masanori Sawa and Vesselin Vatchev	View
An excess theorem for spherical 2-designs	Hirotake Kurihara	View
New parameters of subsets in polynomial association schemes	Sho Suda	View
IRM de diffusion du Q-space: Acquisition et pré-traitements	Emmanuel Caruyer	View
Algebraic and Geometric Coding Theory	Gregory S Chirikjian	View
Использование системы Maple для вычисления и оценки контактных чисел	Н О Котелина and А Б Певный	View
Improved approaches for investigation of small spherical designs	Peter Boyvalenkov and Maya Stoyanova	View
ON THE BOUNDEDNESS OF AN ITERATION INVOLVING POINTS ON THE HYPERSPHERE	Thomas Binder and Thomas Martinetz	View

Entries from 2013

Title	Author	URL
Approximation Theory and Harmonic Analysis on Spheres and Balls	Feng Dai and Yuan Xu	View
Optimal asymptotic bounds for spherical designs	Andriy Bondarenko and Danylo Radchenko and Maryna Viazovska	View
New constructions of codebooks nearly meeting the Welch bound with equality	Honggang Hu and Jinsong Wu	View
New bounds for equiangular lines.	Alexander Barg and Wei-Hsuan Yu	View
Efficient algorithms for the computation of optimal quadrature points on Riemannian manifolds	Dipl-Math Manuel Gräf	View
New Bounds for Spherical Two-Distance Sets	Alexander Barg and Wei-Hsuan Yu	View
On tight spherical designs	Gabriele Nebe and Boris Venkov	View
Tight p-fusion frames	Christine Bachoc and Martin Ehler	View
A Characterization of Sobolev Spaces on the Sphere and an Extension of Stolarsky's Invariance Principle to Arbitrary Smoothness	Johann S Brauchart and Josef Dick	View
Stability of phase retrievable frames	Radu Balan	View
CrowdCL: Web-based volunteer computing with WebCL	Tommy MacWilliam and Cris Cecka	View
Toy models for DH Lehmer's conjecture II	Bannai, Eiichi and Miezaki, Tsuyoshi	View
Counting sheaves using spherical codes	Étienne Fouvry and Emmanuel Kowalski and Philippe Michel	View
Probabilistic Frames: An Overview	Martin Ehler and Kasso A Okoudjou	View
DIAGONAL-UNITARY 2-DESIGN AND THEIR IMPLEMENTATIONS BY QUANTUM CIRCUITS	Yoshifumi Nakata and Mio Murao	View
Discrepancy, separation and Riesz energy of finite point sets on the unit sphere	Paul Leopardi	View
Toy Models for D. H. Lehmer’s Conjecture II	Eiichi Bannai and Tsuyoshi Miezaki	View
On a generalization of spherical designs	Tsuyoshi Miezaki	View
Geometric aspects of 2-walk-regular graphs	Marc Camara and Edwin R Van Dam and Jack H Koolen and Jongyook Park	View
Boris Venkov’s theory of lattices and spherical designs	Gabriele Nebe and Gabriele Author Profile	View
Frames from groups: Generalized bounds and dihedral groups	Matthew Thill and Babak Hassibi	View
Applications of unitary k-designs in quantum information processing	Martin Adam	View
On the number of lattice points in a small sphere and a recursive lattice decoding algorithm	Annika Meyer	View
On frames from abelian group codes	Matthew Thill and Babak Hassibi	View
Cubature Formulas on Spheres	Feng Dai and Yuan Xu	View
Boris Venkov's theory of lattices and spherical designs	Nebe, Gabriele	View
Dual strongly perfect lattices	Elisabeth Nossek	View
New nonexistence results for spherical designs.	Peter Boyvalenkov and Maya Stoyanova	View
On some problems related to spherical designs (Designs, Codes, Graphs and Related Areas)	坂内英一	View
Structured numerical problems in contemporary applications	Mátyás Attila Sustik	View
О множествах с двумя расстояниями	Арсений Владимирович Акопян and Олег Рустамович Мусин	View

Entries from 2014

Title	Author	URL
Codes from difference sets	Cunsheng Ding	View
QMC designs: optimal order quasi Monte Carlo integration schemes on the sphere	Johann Brauchart and E Saff and I Sloan and R Womersley	View
Sphere packing bounds via spherical codes	Henry Cohn and Yufei Zhao	View
Group theoretic, Lie algebraic and Jordan algebraic formulations of the SIC existence problem	D M Appleby and Christopher A Fuchs and Huangjun Zhu	View
Upper bounds for packings of spheres of several radii	David De Laat and Fernando Mário de Oliveira Filho and Frank Vallentin	View
Near-optimal partial Hadamard codebook construction using binary sequences obtained from quadratic residue mapping	Seokbeom Hong and Hosung Park and Jong-Seon No and Tor Helleseth and Young-Sik Kim	View
Complex Spherical Designs and Codes	Aidan Roy and Sho Suda	View
Harmonic singular integrals and steerable wavelets in L2 (Rd)	John Paul Ward and Michael Unser	View
Spherical designs and heights of Euclidean lattices	Renaud Coulangeon and Giovanni Lazzarini	View
Remarks on Hilbert identities, isometric embeddings, and invariant cubature	Hiroshi Nozaki and Masanori Sawa	View
Prime tight frames	Jakob Lemvig and Christopher Miller and Kasso A Okoudjou	View
The extendability of matchings in strongly regular graphs	Sebastian M Cioabă and Weiqiang Li	View
On the existence of tight relative 2-designs on binary Hamming association schemes	Eiichi Bannai and Etsuko Bannai and Hideo Bannai	View
Siegel theta series of various degrees for the Leech lattice	Michio Ozeki	View
Geometric motion planning methods for robotics and biological crystallography	Yan Yan	View
Spherical two-distance sets and related topics in harmonic analysis	Wei-Hsuan Yu	View
Frames from generalized group fourier transforms and SL 2 (F q )	Matthew Thill and Vidya Muthukumar and Babak Hassibi	View
Using real algebraic geometry to solve combinatorial problems with symmetries	Erik Sjöland	View
Trace functions over finite fields and applications	Étienne Fouvry and Emmanuel Kowalski and Philippe Michel	View
Неравенство Сидельникова	Надежда Олеговна Котелина and Александр Борисович Певный	View
New spherical (2s+ 1)-designs from Kuperberg's set: An experimental result	Mohammad Samy Baladram and Djoko Suprijanto	View
Price of SDP relaxations for spherical codes (Designs, Codes, Graphs and Related Areas)	Alexey Glazyrin and Oleg R Musin	View
Delaunay polytopes derived from the Leech lattice	Mathieu Dutour Sikirić and Konstantin Rybnikov	View
Нижние асимптотические оценки мощности дизайнов на сфере s^2 и шаре b^2	Дмитрий Викторович Горбачев	View

Entries from 2015

Title	Author	URL
Distributing many points on spheres: minimal energy and designs	Johann S Brauchart and Peter J Grabner	View
A Partial Derandomization of PhaseLift Using Spherical Designs	D Gross and F Krahmer and R Kueng	View
Optimal Frames for Polarization State Reconstruction	Matthew R Foreman and Alberto Favaro and Andrea Aiello	View
Perfect state transfer on distance-regular graphs and association schemes	Gabriel Coutinho and Chris Godsil and Krystal Guo and Frédéric Vanhove	View
Qubit stabilizer states are complex projective 3-designs	Richard Kueng and David Gross	View
Invertibility and robustness of phaseless reconstruction	Radu Balan and Yang Wang	View
Quadrature on a spherical surface	Casper H L Beentjes	View
Well-Separated Spherical Designs	Andriy Bondarenko and Danylo Radchenko and Maryna Viazovska	View
Extremal quantum states and their Majorana constellations	G Björk and A B Klimov and P De La Hoz and M Grassl and G Leuchs and L L Sánchez-Soto	View
Stars of the quantum universe: extremal constellations on the Poincaré sphere	Gunnar Björk and Markus Grassl and Pablo de la Hoz and Gerd Leuchs and Luis L Sánchez-Soto	View
Finite two-distance tight frames	Alexander Barg and Alexey Glazyrin and Kasso A Okoudjou and Wei-Hsuan Yu	View
A semidefinite programming hierarchy for packing problems in discrete geometry	David De Laat and Frank Vallentin	View
A survey on the kissing numbers	Peter Boyvalenkov and Stefan Dodunekov and Oleg R Musin	View
Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces	Johann S Brauchart and Josef Dick and Edward B Saff and Ian H Sloan and Yu Guang Wang and Robert S Womersley	View
Методы оптимального планирования эксперимента: линейные модели	Юрий Дмитриевич Григорьев	View
Spherical designs of harmonic index t	Eiichi Bannai and Takayuki Okuda and Makoto Tagami	View
Group frames with few distinct inner products and low coherence	Matthew Thill and Babak Hassibi	View
Some old and new problems in combinatorial geometry I: Around Borsuk's problem.	Kalai, Gil	View
Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere	S V Pereverzyev and I H Sloan and P Tkachenko	View
Low rank matrix recovery from few orthonormal basis measurements	Richard Kueng	View
Universal upper and lower bounds on energy of spherical designs	P G Boyvalenkov and P D Dragnev and D P Hardin and E B Saff and M M Stoyanova	View
On relative t-designs in polynomial association schemes	Eiichi Bannai and Etsuko Bannai and Sho Suda and Hajime Tanaka	View
Signal reconstruction from the magnitude of subspace components	Christine Bachoc and Martin Ehler	View
Small designs for path-connected spaces and path-connected homogeneous spaces	Daniel Kane	View
Linear Programming Bounds for Regular Graphs	Hiroshi Nozaki	View
Numerical implementation of constitutive model for arterial layers with distributed collagen fibre orientations	Pavel Skacel and Jiri Bursa	View
Discrete minimal energy on flat tori and four-point maximal polarization on S2	Yujian Su	View
Weighing matrices and spherical codes	Hiroshi Nozaki and Sho Suda	View
Probabilistic integration	François-Xavier Briol and Chris J Oates and Mark Girolami and Michael A Osborne and Dino Sejdinovic	View
Equiangular lines, projective symmetries and nice error frames	Tuan-Yow Chien	View
The eigenvalue method for extremal problems on infinite vertex-transitive graphs	E DeCorte	View
A survey on tight Euclidean t-designs and tight relative t-designs in certain association schemes	Eiichi Bannai and Etsuko Bannai and Yan Zhu	View
More on spherical designs of harmonic index t	Yan Zhu and Eiichi Bannai and Etsuko Bannai and Kyoung-Tark Kim and Wei-Hsuan Yu	View
Relation between spherical designs through a Hopf map	Takayuki Okuda	View
Nicht-Existenz und Konstruktion extremaler Gitter	Michael Jürgens	View
Algebraic methods in graph theory	Weiqiang Li	View
Minimization of energy per particle among Bravais lattices in ℝ 2 : Lennard–Jones and Thomas–Fermi cases	B{\'e	View
On the ideal of the shortest vectors in the Leech lattice and other lattices	William J Martin and Corre L Steele	View
Upper Bounds for Non-Congruent Sphere Packings	Samuel Reid	View
On the largest subsets avoiding the diameter of (0 1)-vectors	Saori Adachi and Hiroshi Nozaki	View
A Constructive Finite Field Method for Scattering Points on the Surface of d-Dimensional Spheres	Béla Bajnok and Steven B Damelin and Jenny Li and Gary L Mullen	View
Lattices energies and variational calculus	Betermin, Laurent	View

Entries from 2016

Title	Author	URL
Tables of the existence of equiangular tight frames	Matthew Fickus and Dustin G Mixon	View
The Clifford group fails gracefully to be a unitary 4-design	Huangjun Zhu and Richard Kueng and Markus Grassl and David Gross	View
Equalized estimation of Stokes parameters in the presence of Poisson noise for any number of polarization analysis states	François Goudail	View
Optimal simplices and codes in projective spaces	Henry Cohn and Abhinav Kumar and Gregory Minton	View
Anisotropic X-Ray Dark-Field Tomography: A Continuous Model and its Discretization	M Wieczorek and F Schaff and F Pfeiffer and T Lasser	View
Bounds on Equiangular Lines and on Related Spherical Codes	Boris Bukh	View
Universal Lower Bounds for Potential Energy of Spherical Codes	P G Boyvalenkov and P D Dragnev and D P Hardin and E B Saff and M M Stoyanova	View
Packing, coding, and ground states	Henry Cohn	View
Close packing of rods on spherical surfaces	Frank Smallenburg and Hartmut Löwen	View
Derandomizing Quantum Circuits with Measurement-Based Unitary Designs	Peter S Turner and Damian Markham	View
Low rank matrix recovery from Clifford orbits	Richard Kueng and Huangjun Zhu and David Gross	View
Improving compressed sensing with the diamond norm	Martin Kliesch and Richard Kueng and Jens Eisert and David Gross	View
Some equalities and inequalities for probabilistic frames	Dongwei Li and Jinsong Leng and Tingzhu Huang and Yuxiang Xu	View
Distinguishing quantum states using Clifford orbits	Richard Kueng and Huangjun Zhu and David Gross	View
Overcoming the sign problem in one-dimensional QCD by new integration rules with polynomial exactness	A Ammon and T Hartung and K Jansen and H Leövey and J Volmer	View
Overcoming the sign problem in 1-dimensional QCD by new integration rules with polynomial exactness	None	View
Spherical sets avoiding a prescribed set of angles	Evan DeCorte and Oleg Pikhurko	View
A copositive formulation for the stability number of infinite graphs	Cristian Dobre and Mirjam Dür and Leonhard Frerick and Frank Vallentin	View
Construction of k-Angle Tight Frames	Somantika Datta and Jesse Oldroyd	View
Complex spherical codes with two inner products	Hiroshi Nozaki and Sho Suda	View
Preconditioning techniques in frame theory and probabilistic frames	Kasso A Okoudjou	View
There are no 76 equiangular lines in R^19	Wei-Hsuan Yu	View
Moment methods in extremal geometry	David de Laat	View
Unit norm tight frames in finite-dimensional spaces	Dustin G Mixon	View
Reconstruction of signals from magnitudes of redundant representations: The complex case	Balan, Radu	View
Generic frame in problems for signal reconstruction without phase	A A Kuleshova	View
Numerical Integration over the Unit Sphere by using spherical t-design	Congpei An and Siyong Chen	View
Log-optimal configurations on the sphere	Peter D Dragnev	View
Computing upper bounds for equiangular lines in Euclidean spaces	Emily J King and Xiaoxian Tang	View
New polynomially exact integration rules on U (N) and SU (N)	Andreas Ammon and Tobias Hartung and Karl Jansen and Hernan Leövey and Julia Volmer	View
Lower energy bounds for antipodal spherical codes and for codes in infinite projective spaces	Peter G Boyvalenkov and Douglas P Hardin and Edward B Saff and Peter D Dragnev and Maya M Stoyanova	View
Polynomial Properties on Large Symmetric Association Schemes	Hiroshi Nozaki	View
Bounds for spherical codes	Peter Keevash and Benny Sudakov	View
Algebraic Techniques in Coding Theory: Entropy Vectors, Frames, and Constrained Coding	Matthew Thill	View
Some remarks on cubature formulas with linear operators	Masatake Hirao and Takayuki Okuda and Masanori Sawa	View
Cubature 公式の理論	澤正憲	View

Entries from 2017

Title	Author	URL
Algebraic combinatorics	Chris Godsil	View
The sphere packing problem in dimension 8	Maryna S Viazovska	View
Low rank matrix recovery from rank one measurements	Richard Kueng and Holger Rauhut and Ulrich Terstiege	View
The Erdos discrepancy problem	Terence Tao	View
Robust nonnegative sparse recovery and the nullspace property of 0/1 measurements	Richard Kueng and Peter Jung	View
Multi-scale Structural Modeling of Soft Tissues Mechanics and Mechanobiology	Yoram Lanir	View
Group Representation for Quantum Theory	Masahito Hayashi	View
Quantum metrology at the limit with extremal Majorana constellations	Frederic Bouchard and P de la Hoz and Gunnar Björk and R W Boyd and Markus Grassl and Z Hradil and E Karimi and A B Klimov and Gerd Leuchs and J Řeháček	View
Two constructions of asymptotically optimal codebooks via the hyper Eisenstein sum	Gaojun Luo and Xiwang Cao	View
Integration and cubature methods: A geomathematically oriented course	Willi Freeden and Martin Gutting	View
A Sharpening of the Welch Bounds and the Existence of Real and Complex Spherical t–Designs	Shayne Waldron	View
Derivation and numerical solution of hyperbolic moment equations for rarefied gas flows	Julian Koellermeier	View
New Bounds for Equiangular Lines and Spherical Two-Distance Sets	Wei-Hsuan Yu	View
Extremal eigenvalues of local Hamiltonians	Aram W Harrow and Ashley Montanaro	View
Design Theory from the Viewpoint of Algebraic Combinatorics	Eiichi Bannai and Etsuko Bannai and Hajime Tanaka and Yan Zhu	View
Low-coherence frames from group Fourier matrices	Matthew Thill and Babak Hassibi	View
Optimal Mueller matrix estimation in the presence of additive and Poisson noise for any number of illumination and analysis states	François Goudail	View
On the Number of Edges of a Uniform Hypergraph with a Range of Allowed Intersections	A V Bobu and A E Kupriyanov and A M Raigorodskii	View
More constructions of near optimal codebooks associated with binary sequences.	Xiwang Cao and Wun-Seng Chou and Xiyong Zhang	View
On spherical designs of some harmonic indices	Yan Zhu and Eiichi Bannai and Etsuko Bannai and Kyoung-Tark Kim and Wei-Hsuan Yu	View
Anticoherent subspaces	Rajesh Pereira and Connor Paul-Paddock	View
О числе ребер однородного гиперграфа с диапазоном разрешенных пересечений	Андрей Викторович Бобу and Александр Эдуардович Куприянов and Андрей Михайлович Райгородский	View
Polynomial approximation and quadrature on geographic rectangles	Mariano Gentile and Alvise Sommariva and Marco Vianello	View
On the connectivity of graphs in association schemes	Brian G Kodalen and William J Martin	View
The spherical design algorithm in the numerical simulation of biological tissues with statistical fibre-reinforcement	Melania Carfagna and Alfio Grillo	View
Mathmatics and Materials	Mark J Bowick and David Kinderlehrer and Govind Menon and Charles Radin	View
On maximal antipodal spherical codes with few distances	Peter Boyvalenkov and Konstantin Delchev	View
Mathematical Programming Bounds for Kissing Numbers	Leo Liberti	View
Ranks of matrices with few distinct entries	Boris Bukh	View
Cubatures on Grassmannians: Moments, Dimension Reduction, and Related Topics	Anna Breger and Martin Ehler and Manuel Gräf and Thomas Peter	View
Approximating the cone of copositive kernels to estimate the stability number of infinite graphs	Olga Kuryatnikova and Juan Carlos Vera Lizcano	View
Fourier extension and sampling on the sphere	Daniel Potts and Niel Van Buggenhout	View
Performance comparison of pseudo-inverse and maximum-likelihood estimators of Stokes parameters in the presence of Poisson noise for spherical design-based measurement structures	François Goudail	View
Eigenvalues of random matrices with isotropic Gaussian noise and the design of diffusion tensor imaging experiments	Dario Gasbarra and Sinisa Pajevic and Peter J Basser	View
Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories	Matthew A Graydon	View
Harmonic Index Designs in Binary Hamming Schemes	Yan Zhu and Eiichi Bannai and Etsuko Bannai and Takuya Ikuta and Kyoung-Tark Kim	View
Improvement of the Inside-Outside Duality Method	A Kleefeld and E Reichwein	View
On the spherical code (4, ρ, 9)	D Zinoviev and V Zinoviev	View
On Testing Isomorphism of Graphs of Bounded Eigenvalue Multiplicity	Takunari Miyazaki	View
Node generation on surfaces and bounds on minimal Riesz energy	Timothy Michaels	View

Entries from 2018

Title	Author	URL
An Introduction to Finite Tight Frames	Shayne F D Waldron	View
Efficient Spherical Designs with Good Geometric Properties	Robert S Womersley	View
Recovering Quantum Gates from Few Average Gate Fidelities	I Roth and R Kueng and S Kimmel and Y.-K. Liu and D Gross and J Eisert and M Kliesch	View
Equiangular lines and spherical codes in Euclidean space	Igor Balla and Felix Dräxler and Peter Keevash and Benny Sudakov	View
Upper bounds for s-distance sets and equiangular lines	Alexey Glazyrin and Wei-Hsuan Yu	View
Renormalized Energy and Asymptotic Expansion of Optimal Logarithmic Energy on the Sphere	Laurent Bétermin and Etienne Sandier	View
Improving the Semidefinite Programming Bound for the Kissing Number by Exploiting Polynomial Symmetry	Fabrício Caluza Machado and Fernando Mário De Oliveira Filho	View
Additive combinatorics: A menu of research problems	Béla Bajnok	View
Estimation precision of full polarimetric parameters in the presence of additive and Poisson noise	Jun Dai and François Goudail and Matthieu Boffety and Jun Gao	View
Spherical Designs and Nonconvex Minimization for Recovery of Sparse Signals on the Sphere	Xiaojun Chen and Robert S Womersley	View
Two-numbers and their applications-a survey	Bang-Yen Chen	View
Asymptotically optimal designs on compact algebraic manifolds	Ujué Etayo and Jordi Marzo and Joaquim Ortega-Cerdà	View
New constructions of codebooks asymptotically achieving the Welch bound	Gaojun Luo and Xiwang Cao	View
Coherence bounds for sensing matrices in spherical harmonics expansion	Arya Bangun and Arash Behboodi and Rudolf Mathar	View
Computing Upper Bounds for the Packing Density of Congruent Copies of a Convex Body	Fernando Mário De Oliveira Filho and Frank Vallentin	View
Towards a proof of the 24-cell conjecture	O R Musin	View
QMC Designs and Determinantal Point Processes	Masatake Hirao	View
Equiangular lines, Incoherent sets and Quasi-symmetric designs	Neil I Gillespie	View
Spherical 𝑡_𝜀-designs for approximations on the sphere	Yang Zhou and Xiaojun Chen	View
Half of an antipodal spherical design	Eiichi Bannai and Da Zhao and Lin Zhu and Yan Zhu and Yinfeng Zhu	View
Positive semidefinite approximations to the cone of copositive kernels	Olga Kuryatnikova and Juan C Vera	View
Derandomizing compressed sensing with combinatorial design	Peter Jung and Richard Kueng and Dustin G Mixon	View
Complex Spherical Codes with Three Inner Products	Hiroshi Nozaki and Sho Suda	View
On the symmetrized arithmetic-geometric mean inequality for opertors	Wafaa Albar and Marius Junge and Mingyu Zhao	View
Explicit Families of Functions on the Sphere with Exactly Known Sobolev Space Smoothness	Johann S Brauchart	View
Modular Magic	Aaron Slipper	View
Induced Subgraphs in Strongly Regular Graphs	Kristína Kováčiková	View
A new upper bound for the size of s-distance sets in boxes	Gábor Hegedüs	View
New attempts for error reduction in lattice field theory calculations	Julia Louisa Volmer	View
Nonexistence of certain pseudogeometric graphs	SeungHyun Shin	View

Entries from 2019

Title	Author	URL
Discrete Energy on Rectifiable Sets	Sergiy V Borodachov and Douglas P Hardin and Edward B Saff	View
On the equivalence of optimization metrics in Stokes polarimetry	Matthew R Foreman and François Goudail	View
Game of Sloanes: best known packings in complex projective space	John Jasper and Emily J King and Dustin G Mixon	View
Guaranteed recovery of quantum processes from few measurements	Martin Kliesch and Richard Kueng and Jens Eisert and David Gross	View
Measuring operator size growth in quantum quench experiments	Xiao-Liang Qi and Emily J Davis and Avikar Periwal and Monika Schleier-Smith	View
Convergence and Margin of Adversarial Training on Separable Data	Zachary Charles and Shashank Rajput and Stephen Wright and Dimitris Papailiopoulos	View
An angle between intermediate subfactors and its rigidity	Keshab Bakshi and Sayan Das and Zhengwei Liu and Yunxiang Ren	View
Two constructions of asymptotically optimal codebooks	Gaojun Luo and Xiwang Cao	View
On the explicit constructions of certain unitary t-designs	Eiichi Bannai and Mikio Nakahara and Da Zhao and Yan Zhu	View
Deterministic constructions of compressed sensing matrices based on optimal codebooks and codes	Gang Wang and Min-Yao Niu and Fang-Wei Fu	View
Euclidean Design Theory	Masanori Sawa and Masatake Hirao and Sanpei Kageyama	View
Energy bounds for codes in polynomial metric spaces	P G Boyvalenkov and P D Dragnev and D P Hardin and E B Saff and M M Stoyanova	View
Derandomizing compressed sensing with combinatorial design	Peter Jung and Richard Kueng and Dustin G Mixon	View
Balancedly splittable Hadamard matrices	Hadi Kharaghani and Sho Suda	View
New Upper Bounds for Equiangular Lines by Pillar Decomposition	Emily J King and Xiaoxian Tang	View
Constructions of codebooks asymptotically achieving the Welch bound with additive characters	Liying Tian and Yubo Li and Tao Liu and Chengqian Xu	View
The many faces of positivity to approximate structured optimization problems	Olga Kuryatnikova	View
On spherical codes with inner products in a prescribed interval	P G Boyvalenkov and P D Dragnev and D P Hardin and E B Saff and M M Stoyanova	View
Reproducing Kernels for the Irreducible Components of Polynomial Spaces on Unions of Grassmannians	Martin Ehler and Manuel Gräf	View
Discriminants of classical quasi-orthogonal polynomials with application to Diophantine equations	Masanori Sawa and Yukihiro Uchida	View
The Cyclic Edge-Connectivity of Strongly Regular Graphs	Wenqian Zhang	View
Graphs and spherical two-distance sets	Oleg R Musin	View
SHARP SPHERE PACKINGS	Maryna Viazovska	View
Upper and lower estimates for numerical integration errors on spheres of arbitrary dimension	Peter J Grabner and Tetiana A Stepanyuk	View
SICs and the elements of order three in the Clifford group	Len Bos and Shayne Waldron	View
Comparison of probabilistic and deterministic point sets on the sphere	Peter J Grabner and Tetiana A Stepanyuk	View
Lattices from tight frames and vertex transitive graphs	Lenny Fukshansky and Deanna Needell and Josiah Park and Yuxin Xin	View
Rational designs	Zhen Cui and Jiacheng Xia and Ziqing Xiang	View
Spherical integration in acoustical holography	Christof Puhle	View
Cometric Association Schemes	Brian G Kodalen	View
Generalizations of Schoenberg's theorem on positive definite kernels	Olga Kuryatnikova and Juan C Vera	View
Spherical 2-Designs and Lattices from Abelian Groups	Albrecht Böttcher and Simon Eisenbarth and Lenny Fukshansky and Stephan Ramon Garcia and Hiren Maharaj	View
Probabilistic tight frames and representation of positive operator-valued measures	M Maslouhi and S Loukili	View
ASYMPTOTIC LINEAR PROGRAMMING LOWER BOUNDS FOR THE ENERGY OF MINIMIZING RIESZ AND GAUSS CONFIGURATIONS	D P Hardin and T J Michaels and E B Saff	View
RETRACTED ARTICLE: Noise tailoring for quantum circuits via unitary 2 t-design	Linxi Zhang and Yan Yu and Changhua Zhu and Changxing Pei	View
Four Constructions of Asymptotically Optimal Codebooks via Additive Characters and Multiplicative Characters	Xia Wu and Wei Lu	View
New constructions of asymptotically optimal codebooks via character sums over a local ring	Liqin Qian and Xiwang Cao and Wei Lu and Xia Wu	View
Cubature Formula	Masanori Sawa and Masatake Hirao and Sanpei Kageyama	View
Kissing number in hyperbolic space	Maria Dostert and Alexander Kolpakov	View

Entries from 2020

Title	Author	URL
High-dimensional sphere packing and the modular bootstrap	Nima Afkhami-Jeddi and Henry Cohn and Thomas Hartman and David De Laat and Amirhossein Tajdini	View
Extremal quantum states	Aaron Z Goldberg and Andrei B Klimov and Markus Grassl and Gerd Leuchs and Luis L Sánchez-Soto	View
Beyond moments: relativistic lattice Boltzmann methods for radiative transport in computational astrophysics	L R Weih and A Gabbana and D Simeoni and L Rezzolla and S Succi and R Tripiccione	View
Optimal detection of rotations about unknown axes by coherent and anticoherent states	John Martin and Stefan Weigert and Olivier Giraud	View
Isoentangled Mutually Unbiased Bases, Symmetric Quantum Measurements, and Mixed-State Designs	Jakub Czartowski and Dardo Goyeneche and Markus Grassl and Karol Życzkowski	View
Semi-Device-Independent Certification of Independent Quantum State and Measurement Devices	Armin Tavakoli	View
Nearly orthogonal vectors and small antipodal spherical codes	Boris Bukh and Christopher Cox	View
Numerical integration on graphs: where to sample and how to weigh	George Linderman and Stefan Steinerberger	View
Universal optimal configurations for the p-frame potentials	X Chen and V Gonzalez and E Goodman and S Kang and K A Okoudjou	View
Generalized designs on graphs: Sampling, spectra, symmetries	Stefan Steinerberger	View
Graphical designs and extremal combinatorics	Konstantin Golubev	View
Sensing matrix design and sparse recovery on the sphere and the rotation group	Arya Bangun and Arash Behboodi and Rudolf Mathar	View
Rényi formulation of uncertainty relations for POVMs assigned to a quantum design	Alexey E Rastegin	View
Six constructions of asymptotically optimal codebooks via the character sums	Wei Lu and Xia Wu and Xiwang Cao and Ming Chen	View
Equiangular lines and the Lemmens–Seidel conjecture	Yen-Chi Roger Lin and Wei-Hsuan Yu	View
Saturated configuration and new large construction of equiangular lines	Yen-chi Roger Lin and Wei-Hsuan Yu	View
Regular Two-Distance Sets	Peter G Casazza and Tin T Tran and Janet C Tremain	View
Bloch functions, asymptotic variance, and geometric zero packing	Haakan Hedenmalm	View
Moments of isotropic measures and optimal projective codes	Alexey Glazyrin	View
Optimal Line Packings from Nonabelian Groups	Joseph W Iverson and John Jasper and Dustin G Mixon	View
Moment methods in energy minimization: New bounds for Riesz minimal energy problems	David De Laat	View
Cubature formulas and Sobolev inequalities	Eli Putterman	View
On Tight 4-Designs in Hamming Association Schemes	Alexander L Gavrilyuk and Sho Suda and Janoš Vidali	View
Spherical half-designs of high order	Daniel Hughes and Shayne Waldron	View
Tight relative t-designs on two shells in hypercubes, and Hahn and Hermite polynomials	Eiichi Bannai and Etsuko Bannai and Hajime Tanaka and Yan Zhu	View
A new construction of codebooks meeting the levenshtein bound	Li Han and Shimin Sun and Yang Yan and Qiuyan Wang	View
Two constructions of asymptotically optimal codebooks via the trace functions	Xia Wu and Wei Lu and Xiwang Cao	View
Contact graphs of ball packings	Alexey Glazyrin	View
Quadrature Points via Heat Kernel Repulsion	Jianfeng Lu and Matthias Sachs and Stefan Steinerberger	View
Spherical acoustical holography using planar microphone arrays	Christof Puhle	View
Maximal 2-distance sets containing the regular simplex	Hiroshi Nozaki and Masashi Shinohara	View
On 3-distance spherical 5-designs	Peter Boyvalenkov and Navid Safaei	View
On the multiplicities of digraph eigenvalues	Alexander L Gavrilyuk and Sho Suda	View
Great antipodal sets on complex Grassmannian manifolds as designs with the smallest cardinalities	Hirotake Kurihara and Takayuki Okuda	View
Upper bounds for energies of spherical codes of given cardinality and separation	P G Boyvalenkov and P D Dragnev and D P Hardin and E B Saff and M M Stoyanova	View
Numerical construction of spherical t-designs by Barzilai-Borwein method	Congpei An and Yuchen Xiao	View
Spatio-Angular Fluorescence Microscopy	Talon Chandler	View
Algebro-geometric aspectsof the Christoffel-Darboux kernelsfor classical orthogonal polynomials	Masanori Sawa and Yukihiro Uchida	View
An upper bound for the size of s-distance sets in real algebraic sets	Gábor Hegedüs and Lajos Rónyai	View
Semidefinite Programming Bounds For Spherical Three-distance Sets	Feng-Yuan Liu and Wei-Hsuan Yu	View
Linear programming bounds for spherical (k, k)-designs	Peter Boyvalenkov	View
A minimization problem for probabilistic frames	S Loukili and M Maslouhi	View
Interaction energies, lattices, and designs	Josiah Park	View
Quadrature rules with neighborhood of spherical designs on the two-sphere	Yang Zhou	View
On representations of graphs as two-distance sets	Abdo Y Alfakih	View
Estimates for Logarithmic and Riesz Energies of Spherical t-Designs	Tetiana A Stepanyuk	View
Distributed Learning via Filtered Hyperinterpolation on Manifolds	Guido Montúfar and Yu Guang Wang	View
Bounds on antipodal spherical designs with few angles	Zhiqiang Xu and Zili Xu and Wei-Hsuan Yu	View
New Constructions of Codebooks Nearly Meeting the Welch Bound	Zexia Shi and Lei Sun and Fang-Wei Fu	View
Generalized Frame Potential and Problems Related to SIC-POVMs	Shujie Kang	View
Few Distance Sets in lp Spaces and lp Product Spaces	Richard Chen and Feng Gui and Jason Tang and Nathan Xiong	View
Estimates for the discrete energies on the sphere	Tetiana Stepaniuk	View
球面デザインの研究と最近の動向について (諸科学分野を結ぶ基礎学問としての数値解析学)	平尾将剛	View
歐式空間二距離集合之探討	Xuan-Yu Lin	View

Entries from 2021

Title	Author	URL
Quantum concepts in optical polarization	Aaron Z Goldberg and Pablo De La Hoz and Gunnar Björk and Andrei B Klimov and Markus Grassl and Gerd Leuchs and Luis L Sánchez-Soto	View
Algebraic combinatorics	Eiichi Bannai and Etsuko Bannai and Tatsuro Ito and Rie Tanaka	View
Quantum Circuits for Exact Unitary t-Designs and Applications to Higher-Order Randomized Benchmarking	Yoshifumi Nakata and Da Zhao and Takayuki Okuda and Eiichi Bannai and Yasunari Suzuki and Shiro Tamiya and Kentaro Heya and Zhiguang Yan and Kun Zuo and Shuhei Tamate and Yutaka Tabuchi and Yasunobu Nakamura	View
Concise encyclopedia of coding theory	W Cary Huffman and Jon-Lark Kim and Patrick Solé	View
Lasso Hyperinterpolation Over General Regions	Congpei An and Hao-Ning Wu	View
From Optimal Transport to Discrepancy	Sebastian Neumayer and Gabriele Steidl	View
A note on Assmus–Mattson type theorems	Tsuyoshi Miezaki and Akihiro Munemasa and Hiroyuki Nakasora	View
Spherical t-design for characterizing the spatial response of microphone arrays	Daniel Pinardi	View
A graphical calculus for integration over random diagonal unitary matrices	Ion Nechita and Satvik Singh	View
Spherical (t, t)-designs with a small number of vectors	Daniel Hughes and Shayne Waldron	View
Semi-device-independent quantum key agreement protocol	Yu-Guang Yang and Yue-Chao Wang and Jian Li and Yi-Hua Zhou and Wei-Min Shi	View
Selection and evaluation of spherical acquisition trajectories for industrial computed tomography	Fabian Bauer and Matthias Goldammer and Christian U Grosse	View
Energy on spheres and discreteness of minimizing measures	Dmitriy Bilyk and Alexey Glazyrin and Ryan Matzke and Josiah Park and Oleksandr Vlasiuk	View
Codes, Cubes, and Graphical Designs	Catherine Babecki	View
Design-theoretic analogies between codes, lattices, and vertex operator algebras	Tsuyoshi Miezaki	View
Spectral limitations of quadrature rules and generalized spherical designs	Stefan Steinerberger	View
Exact Semidefinite Programming Bounds for Packing Problems	Maria Dostert and David De Laat and Philippe Moustrou	View
Distributed Filtered Hyperinterpolation for Noisy Data on the Sphere	Shao-bo Lin and Yu Guang Wang and Ding-Xuan Zhou	View
Gaussian approximation of quantization error for estimation from compressed data	Alon Kipnis and Galen Reeves	View
Semidefinite programming bounds for error-correcting codes	Frank Vallentin	View
The minimizers of the p-frame potential	Zhiqiang Xu and Zili Xu	View
Equiangular lines and regular graphs	Igor Balla	View
Asymptotically optimal cubature formulas on manifolds for prefixed weights	Martin Ehler and Ujué Etayo and Bianca Gariboldi and Giacomo Gigante and Thomas Peter	View
Bounds for spherical codes: the Levenshtein framework lifted	Peter Boyvalenkov and Peter Dragnev and Douglas Hardin and Edward Saff and Maya Stoyanova	View
Biangular Lines Revisited	Ganzhinov Mikhail and Szöll\Hosi Ferenc	View
Two new families of asymptotically optimal codebooks from characters of cyclic groups	Yang Yan and Yao Yao and Zhi Chen and Qiuyan Wang	View
Classification of Spherical 2-distance[4 2 1]-designs by Solving Diophantine Equations	Eiichi Bannai and Etsuko Bannai and Ziqing Xiang and Wei-Hsuan Yu and Yan Zhu	View
Solving the Delsarte problem for 4-designs on the sphere S2 2	I A Martyanov	View
Antipodal Sets and Designs on Unitary Groups	Hirotake Kurihara	View
ТОЧНЫЕ НЕРАВЕНСТВА БЕРНШТЕЙНА-НИКОЛЬСКОГО ДЛЯ ПОЛИНОМОВ И ЦЕЛЫХФУНКЦИЙ ЭКСПОНЕНЦИАЛЬНОГО ТИПА	Дмитрий Викторович Горбачев	View
Improve concentration of frequency and time (ConceFT) by novel complex spherical designs	Matt Sourisseau and Yu Guang Wang and Robert S Womersley and Hau-Tieng Wu and Wei-Hsuan Yu	View
Optimal and asymptotically optimal codebooks as regards the Levenshtein bounds	Hong-Li Wang and Li-Li Fan and Gang Wang and Lin-Zhi Shen	View
Quantum circuits for exact unitary t-designs and applications to higher-order randomized benchmarking	Nakata, Yoshifumi and Zhao, Da and Okuda, Takayuki and Bannai, Eiichi and Suzuki, Yasunari and Tamiya, Shiro and Heya, Kentaro and Yan, Zhiguang and Zuo, Kun and Tamate, Shuhei and others	View
The spherical ensemble and quasi-Monte-Carlo designs	Robert J Berman	View
Majorization and Minimal Energy on Spheres	Oleg R Musin	View
Low-Rank Matrix Estimation from Rank-One Projections by Unlifted Convex Optimization	Sohail Bahmani and Kiryung Lee	View
Linear Programming Bounds for Covering Radius of Spherical Designs	Peter Boyvalenkov and Maya Stoyanova	View
Some cases of Kudla's modularity conjecture for unitary Shimura varieties	Jiacheng Xia	View
Kissing number in non-Euclidean spaces of constant sectional curvature	Maria Dostert and Alexander Kolpakov	View
The Mathematical Aspects of Some Problems from Coding Theory	Peter Boyvalenkov and Ivan Landjev	View
On some recent progress in the classification of (P and Q)-polynomial association schemes	Alexander L Gavrilyuk and Jack H Koolen	View
On construction of finite averaging sets for SL(2 C) via its Cartan decomposition	Marcin Markiewicz and Janusz Przewocki	View
Communications using Sparse Signals	Madhusudan Kumar Sinha and Arun Pachai Kannu	View
Linear programming bounds	Peter Boyvalenkov and Danyo Danev	View
Landscape of 21st Century Mathematics: Selected Advances, 2001–2020	Bogdan Grechuk	View
Two classes of near-optimal codebooks with respect to the Welch bound.	Gaojun Luo and Xiwang Cao	View
Applications of harmonic analysis to discrete geometry	Fabrício Caluza Machado and Sinai Robins	View
Lattice kinetic algorithms for relativistic flows: a unified treatment	Daniele Simeoni and Raffaele Tripiccione and Matthias Ehrhardt and Constantia Alexandrou and Sebastiano Fabio Schifano	View
A new proof of a generalization of Gerzon's bound	Gábor Hegedüs	View
Spherical Codes and Designs	Manuel Wiedmer	View
Extremal sets with forbidden configurations and the independence ratio of geometric hypergraphs	Davi de Castro Silva	View
Решение задачи Дельсарта для 4-дизайнов на сфере S2	Иван Анатольевич Мартьянов	View
On spherical 4-distance 7-designs	Peter Boyvalenkov and Navid Safaei	View
Upper Energy Bounds for Spherical Designs of Relatively Small Cardinalities	Peter Boyvalenkov and Konstantin Delchev and Matthieu Jourdain	View
Codes and Designs in Polynomial Metric Spaces	Peter Boyvalenkov	View
Classification of Partially Metric Q-Polynomial Association Schemes with $$m_\{ 1\	Da Zhao	View
AN INTRODUCTION TO GRAPHICAL DESIGNS	CATHERINE BABECKI	View
Spherical 2-Designs as Stationary Points of Many-Body Systems	Makoto Miura and Kazushi Ueda	View
MASTERARBEIT/MASTER’S THESIS	Lukas Köhldorfer	View
Spherical t-designs and Unitary t-designs	Nicolas CASTRO and Hadi Salmasian	View
Biangular Lines Revisited	Mikhail Ganzhinov and Ferenc Szöllősi	View
Quadrature 公式の構成理論と実験計画法	澤正憲	View
Чебышевский сборник	ИВАН АНАТОЛЬЕВИЧ Мартьянов	View

Entries from 2022

Title	Author	URL
Strongly regular graphs	Andries E Brouwer and Hendrik Van Maldeghem	View
Reliability analysis of discrete-state performance functions via adaptive sequential sampling with detection of failure surfaces	Miroslav Vořechovskỳ	View
Optimal measures for p-frame energies on spheres	Dmitriy Bilyk and Alexey Glazyrin and Ryan Matzke and Josiah Park and Oleksandr Vlasiuk	View
Fast kinetic simulator for relativistic matter	V E Ambruş and Lorenzo Bazzanini and Alessandro Gabbana and Daniele Simeoni and Sauro Succi and Raffaele Tripiccione	View
On the quadrature exactness in hyperinterpolation	Congpei An and Hao-Ning Wu	View
Physics-informed distribution transformers via molecular dynamics and deep neural networks	Difeng Cai	View
The magic of 8 and 24	Andrei Okounkov	View
The employment of quasi-hexagonal grids in spherical harmonic analysis and synthesis for the earth's gravity field	Xinxing Li and Jiancheng Li and Xiaochong Tong and Shanshan Li and Haopeng Fan	View
Frames over finite fields: basic theory and equiangular lines in unitary geometry	Gary R W Greaves and Joseph W Iverson and John Jasper and Dustin G Mixon	View
Random Walks, Equidistribution and Graphical Designs	Stefan Steinerberger and Rekha R Thomas	View
Doubly transitive lines I: Higman pairs and roux	Joseph W Iverson and Dustin G Mixon	View
Complete positivity and distance-avoiding sets	Evan DeCorte and Fernando Mário De Oliveira Filho and Frank Vallentin	View
Four-point semidefinite bound for equiangular lines	Wei-Jiun Kao and Wei-Hsuan Yu	View
Distributed Learning via Filtered Hyperinterpolation on Manifolds	Guido Montúfar and Yu Guang Wang	View
Explicit construction of exact unitary designs	Eiichi Bannai and Yoshifumi Nakata and Takayuki Okuda and Da Zhao	View
Optimization of irradiation configuration using spherical t-designs for laser-direct-drive inertial confinement fusion	A Shvydky and W Trickey and A V Maximov and I V Igumenshchev and P W McKenty and V N Goncharov	View
Structure and Complexity of graphical designs for weighted graphs through eigenpolytopes	Catherine Babecki and David Shiroma	View
Absolute Minima of Potentials of a Certain Class of Spherical Designs	Sergiy Borodachov	View
Geophysics and Stuart vortices on a sphere meet differential geometry	Łukasz Rudnicki	View
A recursive Lovász theta number for simplex-avoiding sets	Davi Castro-Silva and Fernando de Oliveira Filho and Lucas Slot and Frank Vallentin	View
Asymptotic analysis of semidefinite bounds for polynomial optimization and independent sets in geometric hypergraphs	Lucas Slot	View
CandyCodes: simple universally unique edible identifiers for confirming the authenticity of pharmaceuticals	William H Grover	View
On the size of maximal binary codes with 2, 3, and 4 distances	Alexander Barg and Alexey Glazyrin and Wei-Jiun Kao and Ching-Yi Lai and Pin-Chieh Tseng and Wei-Hsuan Yu	View
Q-polynomial coherent configurations	Sho Suda	View
Efficient and scalable electrostatics via spherical grids and treecode summation	Andrew Simmonett and Bernard Brooks and Thomas Darden	View
Doubly transitive lines II: Almost simple symmetries	Joseph W Iverson and Dustin G Mixon	View
k-Point semidefinite programming bounds for equiangular lines	David De Laat and Fabrício Caluza Machado and Fernando Mário De Oliveira Filho and Frank Vallentin	View
Decoding noisy messages: a method that just shouldn't work	Leo Liberti	View
Unconstrained Polarization (Chebyshev) Problems: Basic Properties and Riesz Kernel Asymptotics	Douglas P Hardin and Mircea Petrache and Edward B Saff	View
Highly symmetric lines	Mikhail Ganzhinov	View
Anticoherent spin-2 states and spherical designs	Meichao Wang and Yan Zhu	View
Rationality of the inner products of spherical s-distance t-designs for t≥ 2s- 2, s≥ 3	Peter Boyvalenkov and Hiroshi Nozaki and Navid Safaei	View
Grassmannian packings: Trust-region stochastic tuning for matrix incoherence	Josiah Park and Carlos Saltijeral and Ming Zhong	View
Disjoint weighing matrices	Hadi Kharaghani and Sho Suda and Behruz Tayfeh-Rezaie	View
Almost sharp Sobolev trace inequalities in the unit ball under constraints	Xuezhang Chen and Wei Wei and Nan Wu	View
Delsarte's Extremal Problem and Packing on Locally Compact Abelian Groups	Elena Berdysheva and Szilárd Gy Révész	View
The finite Fourier Transform and projective 2-designs	Gerhard Zauner	View
Additive Combinatorics in Groups and Geometric Combinatorics on Spheres	Bela Bajnok	View
Octonions and the two strictly projective tight 5-designs	Benjamin Nasmith	View
Explicit spherical designs	Ziqing Xiang	View
Modular forms and ellipsoidal T-designs	Badri Vishal Pandey	View
Geometric measure of entanglement from Wehrl Moments using Artificial Neural Networks	Jérôme Denis and François Damanet and John Martin	View
A new kind of hybrid character sums and their applications	Xiwang Cao and Xinyi Gu and Jinlong Wan	View
Weighing matrices: generalizations and related configurations	Thomas Pender	View
Semidefinite programming bounds for the average kissing number	Maria Dostert and Alexander Kolpakov and Fernando Mário De Oliveira Filho	View
Symmetric functions and spherical t-designs in $\$\{\textbackslash\	Federico N Martínez	View
Semidefinite programming bounds for complex spherical codes	Wei-Jiun Kao and Sho Suda and Wei-Hsuan Yu	View
Small spherical and projective codes	Henry Cohn	View
A new kind of mixed character sums and their applications	Xiwang Cao	View
Algoritmi Cinetici per flussi relativistici: un trattamento unificato	Daniele Simeoni	View
Characterization and calibration of polarizer filter array stokes imaging systems	Yilbert Cristóbal Giménez-Henríquez	View
Caractérisation et étalonnage des systèmes d'imagerie de stokes à matrice de filtres polariseurs	Yilbert Cristóbal Giménez-Henríquez	View
Semi-device-dependent Quantum System Identification	Ingo Roth	View
Definable sets in finite structures	Rory Sebastian Morton Ainslie	View
Cometric association schemes	William J Martin	View
Few distance sets in ℓp spaces and ℓp product spaces	Richard Chen and Feng Gui and Jason Tang and Nathan Xiong	View
a review of Few distance sets in ℓp spaces and ℓp product spaces by Chen, Richard; Gui, Feng; Tang, Jason; Xiong, Nathan	西村泰一 and ニシムラヒロカズ	View
Masanori Sawa, Masatake Hirao and Sanpei Kageyama: Euclidean Design Theory, SpringerBriefs Stat., Springer, 2019 年, viii+ 134 ページ.	坂内英一	View
志賀啓成: リーマンと解析学, リーマンの生きる数学 (黒川信重編), 2, 共立出版, 2020 年, viii+ 98 ページ.	須川敏幸	View

Entries from 2023

Title	Author	URL
Emergent Quantum State Designs from Individual Many-Body Wave Functions	Jordan S Cotler and Daniel K Mark and Hsin-Yuan Huang and Felipe Hernández and Joonhee Choi and Adam L Shaw and Manuel Endres and Soonwon Choi	View
SQ lower bounds for learning mixtures of linear classifiers	Ilias Diakonikolas and Daniel Kane and Yuxin Sun	View
Efficient verification of Affleck-Kennedy-Lieb-Tasaki states	Tianyi Chen and Yunting Li and Huangjun Zhu	View
A simple proof of a reverse Minkowski theorem for integral lattices	Oded Regev and Noah Stephens-Davidowitz	View
On polarization of spherical codes and designs	P G Boyvalenkov and P D Dragnev and D P Hardin and E B Saff and M M Stoyanova	View
Spherical Framelets from Spherical Designs	Yuchen Xiao and Xiaosheng Zhuang	View
Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere	Sergiy Borodachov	View
Optimal Measures for Multivariate Geometric Potentials	Dmitriy Bilyk and Damir Ferizović and Alexey Glazyrin and Ryan W Matzke and Josiah Park and Oleksandr Vlasiuk	View
Absolute minima of potentials of certain regular spherical configurations	Sergiy Borodachov	View
Projective toric designs, difference sets, and quantum state designs	Iosue, Joseph T and Mooney, TC and Ehrenberg, Adam and Gorshkov, Alexey V	View
Low-energy points on the sphere and the real projective plane	Carlos Beltrán and Ujué Etayo and Pedro R López-Gómez	View
The Lasserre hierarchy for equiangular lines with a fixed angle	David de Laat and Fabrício Caluza Machado and Willem de Muinck Keizer	View
Universal minima of discrete potentials for sharp spherical codes	Peter Boyvalenkov and Peter Dragnev and Douglas Hardin and Edward Saff and Maya Stoyanova	View
An isotropic sound field model composed of a finite number of plane waves	Tatsuhiro Tanaka and Makoto Otani	View
Reconstructing the dynamic directivity of unconstrained speech	Camille Noufi and Dejan Markovic and Peter Dodds	View
Spherical Two-Distance Sets and Eigenvalues of Signed Graphs	Zilin Jiang and Jonathan Tidor and Yuan Yao and Shengtong Zhang and Yufei Zhao	View
Learning Polynomial Problems with SL(2 R)-Equivariance	Hannah Lawrence and Mitchell Tong Harris	View
Tight Cramér-Rao type bounds for multiparameter quantum metrology through conic programming	Masahito Hayashi and Yingkai Ouyang	View
Transducer Distribution on Spherical Arrays for Ambisonics Recording and Playback	Daniel Pinardi and Angelo Farina and Marco Binelli	View
New Sign Uncertainty Principles	Felipe Gonçalves and Diogo Oliveira e Silva and João P G Ramos	View
Breaking quadrature exactness: A spectral method for the Allen--Cahn equation on spheres	Hao-Ning Wu and Xiaoming Yuan	View
Linear programming bounds for hyperbolic surfaces	Maxime Fortier Bourque and Bram Petri	View
Optimization hierarchies for distance-avoiding sets in compact spaces	Bram Bekker and Olga Kuryatnikova and Fernando Mário de Oliveira Filho and Juan C Vera	View
Optimal and extremal graphical designs on regular graphs associated with classical parameters	Yan Zhu	View
Relationships between the Phase Retrieval Problem and Permutation Invariant Embeddings	Radu Balan and Efstratos Tsoukanis	View
Approximately strongly regular graphs	Ferdinand Ihringer	View
Experimental Survey of Discrete Minimizers of the p-frame Energy	Dmitriy Bilyk and Alexey Glazyrin and Ryan W Matzke and Josiah Park and Oleksandr Vlasiuk	View
Uniformly Scattering Neighboring Nodes of an Ego-Centric Network on a Spherical Surface for Better Network Visualization	Emily Chao-Hui Huang and Frederick Kin Hing Phoa	View
Spherical Vector Quantization for Spatial Direction Coding	Stéphane Ragot and Adriana Vasilache	View
Distance-Biregular Graphs and Orthogonal Polynomials	Sabrina Lato	View
On the multiplicities of digraph eigenvalues	Alexander L Gavrilyuk and Sho Suda	View
Constructions and restrictions for balanced splittable Hadamard matrices	Jonathan Jedwab and Shuxing Li and Samuel Simon	View
Denoising on Sphere via Large Spherical t-designs and Spherical Framelets	Xiaosheng Zhuang and Yuchen Xiao	View
Spherical Designs for Function Approximation and Beyond	Yuchen Xiao and Xiaosheng Zhuang	View
Randomized measurements as a tool in quantum information processing	Satoya Imai	View
Bounds for the sum of distances of spherical sets of small size	Alexander Barg and Peter Boyvalenkov and Maya Stoyanova	View
Walks'n'Blocks: Asymptotic enumeration of weighted reflectable walks in Ad1 and A2 and exploration of balanced splittable Hadamard matrices	Samuel Simon	View
Dimension-free Remez Inequalities and norm designs	Lars Becker and Ohad Klein and Joseph Slote and Alexander Volberg and Haonan Zhang	View
Butson Hadamard matrices, bent sequences, and spherical codes	Minjia Shi and Danni Lu and Andrés Armario and Ronan Egan and Ferruh Ozbudak and Patrick Solé	View
Gaussian sums, hyper Eisenstein sums and Jacobi sums over a local ring and their applications	Liqin Qian and Xiwang Cao	View
t-design curves and mobile sampling on the sphere	Martin Ehler and Karlheinz Gröchenig	View
Least distortion Euclidean embeddings of flat tori	Frank Vallentin and Philippe Moustrou	View
A semidefinite programming hierarchy for covering problems in discrete geometry	Cordian Riener and Jan Rolfes and Frank Vallentin	View
A Uniform Placement Of Alters On Spherical Surface (U-Pass) For Ego-Centric Networks With Community Structure And Alter Attributes	Emily Chao-Hui Huang and Frederick Kin Hing Phoa	View
The harmonic strength of shells of lattices and weighted theta series	Koji Tasaka	View
Designs related through projective and Hopf maps	Ayodeji Lindblad	View
Cayley sum graphs and their applications to codebooks	Shohei Satake and Yujie Gu	View
The kissing number in 48 dimensions for codes with certain forbidden distances is 52 416 000	Peter Boyvalenkov and Danila Cherkashin	View
Bounds for sets with few distances distinct modulo a prime ideal	Hiroshi Nozaki	View
Universal minima of potentials of certain spherical designs contained in the fewest parallel hyperplanes	Sergiy Borodachov	View
Spherical designs and modular forms of the D4 lattice	Masatake Hirao and Hiroshi Nozaki and Koji Tasaka	View
Euclidean designs obtained from spherical embedding of coherent configurations	Aiguo Wang and Yan Zhu	View
Estimation of the geometric measure of entanglement with Wehrl moments through artificial neural networks	Jérôme Denis and François Damanet and John Martin	View
The Polyhedral Geometry of Graphical Designs	Catherine Babecki	View
Euclidean sets with only one distance modulo a prime ideal	Hiroshi Nozaki	View
Density criteria for Fourier uniqueness phenomena in \$\{\textbackslash\	Anshul Adve	View
Uniacute Spherical Codes	Saba Lepsveridze and Aleksandre Saatashvili and Yufei Zhao	View
Rational Angle Sets and Tight t-Designs	Benjamin Nasmith	View
Wigner negativity on the sphere	Jack Davis	View
A refinement of Reznick's Positivstellensatz with applications to quantum information theory	Alexander Müller-Hermes and Ion Nechita and David Reeb	View
Tight Projective 5-Designs and Exceptional Structures	Benjamin Nasmith	View
A Short Solution of the Kissing Number Problem in Dimension Three	Alexey Glazyrin	View
Constructions of asymptotically optimal codebooks with respect to Welch bound and Levenshtein bound	Gang Wang and Deng-Ming Xu and Fang-Wei Fu and School of Mathematical Sciences Tianjin Normal University Tianjin 300387 China and Sino-European Institute of Aviation Engineering Civil Aviation University of China Tianjin 300300 China and Chern Institute of Mathematics and Tianjin 300071 China LPMC Nankai University	View
Quadrature formulas for Bessel polynomials	Hideki Matsumura	View
Numerical computation of triangular complex spherical designs with small mesh ratio	Yu Guang Wang and Robert S Womersley and Hau-Tieng Wu and Wei-Hsuan Yu	View
A generalization of Gerzon’s bound on spherical s-distance sets	Mrinmoy Datta and Subrata Manna	View
On the minimax spherical designs	Weibo Fu and Guanyang Wang and Jun Yan	View
DESENVOLVIMENTO E IMPLEMENTAÇÃO DE POTENCIAIS PLÁSTICOS DE BASE NUMÉRICA PARA MATERIAIS METÁLICOS ANISOTRÓPICOS POROSOS	João Paulo Martins Brito	View
Classification of the tight Euclidean 5-designs in ℝ2	坂内悦子	View
Decompositions of powers of quadratic forms	Cosimo Flavi	View
Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices	Tsuyoshi Miezaki and Gabriele Nebe	View
Imagerie Microscopique Multimodale Polarimétrique Visible et Infrarouge Couplée à des Sources de Lumière Laser Accordable et Synchrotron	Bandar Albugami	View

Entries from 2024

Title	Author	URL
Provably optimal memory capacity for modern hopfield models: Transformer-compatible dense associative memories as spherical codes	Hu, Jerry Yao-Chieh and Wu, Dennis and Liu, Han	View
A mathematical perspective on Transformers	Borjan Geshkovski and Cyril Letrouit and Yury Polyanskiy and Philippe Rigollet	View
Continuous-Variable Quantum State Designs: Theory and Applications	Joseph T Iosue and Kunal Sharma and Michael J Gullans and Victor V Albert	View
Quantum spherical codes	Shubham P Jain and Joseph T Iosue and Alexander Barg and Victor V Albert	View
Analysing quantum systems with randomised measurements	Paweł Cieśliński and Satoya Imai and Jan Dziewior and Otfried Gühne and Lukas Knips and Wiesław Laskowski and Jasmin Meinecke and Tomasz Paterek and Tamás Vértesi	View
Solving clustered low-rank semidefinite programs arising from polynomial optimization	Nando Leijenhorst and David De Laat	View
Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere	Congpei An and Hao-Ning Wu	View
The spherical ensemble and quasi-Monte-Carlo designs	Robert J Berman	View
Optimality of spherical codes via exact semidefinite programming bounds	Henry Cohn and David de Laat and Nando Leijenhorst	View
Projective toric designs, quantum state designs, and mutually unbiased bases	Joseph T Iosue and T C Mooney and Adam Ehrenberg and Alexey V Gorshkov	View
Accurate close interactions of Stokes spheres using lubrication-adapted image systems	Anna Broms and Alex H Barnett and Anna-Karin Tornberg	View
Optimality and uniqueness of the D_4 root system	David de Laat and Nando M Leijenhorst and Willem H H de Muinck Keizer	View
Geometry and topology of maximal antipodal sets and related topics	Bang-Yen Chen	View
Multipoles from Majorana constellations	J L Romero and A B Klimov and A Z Goldberg and G Leuchs and L L Sánchez-Soto	View
Numerical evaluation of orientation averages and its application to molecular physics	Alexander Blech and Raoul M M Ebeling and Marec Heger and Christiane P Koch and Daniel M Reich	View
Constructions of t-designs from weighing matrices and walk-regular graphs	Gary Greaves and Sho Suda	View
Efficient verification of ground states of frustration-free Hamiltonians	Huangjun Zhu and Yunting Li and Tianyi Chen	View
Sketching with Spherical Designs for Noisy Data Fitting on Spheres	Shao-Bo Lin and Di Wang and Ding-Xuan Zhou	View
Small codes	Igor Balla	View
Space-filling designs on Riemannian manifolds	Mingyao Ai and Yunfan Yang and Xiangshun Kong	View
Learning Rate of Regularized Regression Associated with Zonal Translation Networks	Xuexue Ran and Baohuai Sheng and Shuhua Wang	View
Optimal Modal Decomposition for Directionally Biased Sound Field Recording	Hao Gao and Junlong Ren and Jiazheng Cheng and Yong Shen	View
An analytical framework for the incorporation of non-orthogonal pilots in massive MIMO systems	Navid Pourjafari and Jalil Seifali Harsini	View
On the existence and estimates of nested spherical designs	Ruigang Zheng and Xiaosheng Zhuang	View
Hard thresholding hyperinterpolation over general regions	Congpei An and Jiashu Ran	View
Three constructions of asymptotically optimal codebooks via multiplicative characters of finite fields	Wei Lu and Xia Wu and Xiwang Cao	View
A Method of Fundamental Solutions for Large-Scale 3D Elastance and Mobility Problems	Anna Broms and Alex H Barnett and Anna-Karin Tornberg	View
A numerical code for the analysis of magnetic white dwarf spectra that includes field effects on the chemical equilibrium	Matías Vera-Rueda and René D Rohrmann	View
Complex spherical designs from group orbits	Mozhgan Mohammadpour and Shayne Waldron	View
SDP bounds on quantum codes	Gerard Anglès Munné and Andrew Nemec and Felix Huber	View
A Trust Region Method with Regularized Barzilai-Borwein Step-Size for Large-Scale Unconstrained Optimization	Xin Xu and Congpei An	View
Designs in compact symmetric spaces and applications of great antipodal sets	Bang-Yen Chen	View
Phase Transitions for the Minimizers of the $p$-Frame Potentials in \(\mathbb\\{\{R\	Radel Ben-Av and Xuemei Chen and Assaf Goldberger and Shujie Kang and Kasso A Okoudjou	View
Optimal Designs for Regression on Lie Groups	Somnath Chakraborty and Holger Dette and Martin Kroll	View
Equiangular lines via matrix projection	Igor Balla	View
Geodesic Distance Riesz Energy on Projective Spaces	Dmitriy Bilyk and Ryan W Matzke and Joel Nathe	View
Energy bounds for weighted spherical codes and designs via linear programming	Sergiy Borodachov and Peter Boyvalenkov and Peter Dragnev and Douglas Hardin and Edward Saff and Maya Stoyanova	View
Speed excess and total acceleration: a kinematical approach to entanglement	C Chryssomalakos and A G Flores-Delgado and E Guzmán-González and L Hanotel and E Serrano-Ensástiga	View
Sparse graphical designs via linear programming	Hessa Al-Thani and Catherine Babecki and J Carlos Martínez Mori	View
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?	Congpei An and Hao-Ning Wu	View
Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices	Ganzhinov Mikhail and R J Östergård Patric	View
Spherical configurations and quadrature methods for integral equations of the second kind	Congpei An and Hao-Ning Wu	View
Ultraspherical/Gegenbauer polynomials to unify 2D/3D Ambisonic directivity designs	Franz Zotter	View
Universally Optimal Periodic Configurations in the Plane	Doug Hardin and Nathaniel Tenpas	View
Energy of codes with forbidden distances in 48 dimensions	Boyvalenkov, P and Dragnev, P	View
Spherical two-distance sets and graph eigenvalues	Jiang Zhou	View
Odd strength spherical designs attaining the Fazekas–Levenshtein bound for covering and universal minima of potentials	Sergiy Borodachov	View
Long-time Freeness in the Kicked Top	Vallini, Elisa and Pappalardi, Silvia	View
Hybrid hyperinterpolation over general regions	Congpei An and Jiashu Ran and Alvise Sommariva	View
Asymptotically optimal t-design curves on S^3	Ayodeji Lindblad	View
Regularized Barzilai-Borwein method	Congpei An and Xin Xu	View
On the Existence of an Extremal Function for the Delsarte Extremal Problem	Mita Dimpho Ramabulana	View
Antipodality of spherical designs with odd harmonic indices	Ryutaro Misawa and Akihiro Munemasa and Masanori Sawa	View
The Problem of Thirteen Balls	Hiroshi Maehara and Horst Martini	View
Accuracy, efficiency and robustness for rigid particle simulations in Stokes flow	Anna Broms	View
Learning, Verifying, and Erasing Errors on a Chaotic and Highly Entangled Programmable Quantum Simulator	Adam Lawrence Shaw	View
Convergence Rate of Regularized Regression Associated with Zonal Translation Networks	Xuexue Ran and Baohuai Sheng and Shuhua Wang	View
Algorithms and Information-Computation Trade-Offs in High-Dimensional Statistical Estimation	Yuxin Sun	View
Embedding Dimensions of Matrices Whose Entries are Indefinite Distances in the Pseudo-Euclidean Space	Hiroshi Nozaki and Masashi Shinohara and Sho Suda	View
Doubly transitive lines II: Almost simple symmetries	Joseph W Iverson and Dustin G Mixon	View
Extremal and random hyperbolic geometry	Bram Petri	View
Linear Programming Bounds for Periodic Energy Problems	Nathaniel Jay Tenpas	View
Stability of optimal spherical codes	Károly J Böröczky and Alexey Glazyrin	View
Jacobi sums over Galois rings of arbitrary characters and their applications in constructing asymptotically optimal codebooks	Deng-Ming Xu and Gang Wang and Sihem Mesnager and You Gao and Fang-Wei Fu	View
Decompositions of Powers of Quadrics	Flavi, Cosimo	View