Alexey Glazyrin

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All published works

Action	Title	Year	Authors
+	Stability of optimal spherical codes	2024	Károly J. Böröczky Alexey Glazyrin
+	On the Total Perimeter of Pairwise Disjoint Convex Bodies	2024	Arseniy Akopyan Alexey Glazyrin
+ PDF Chat	Optimizers of three-point energies and nearly orthogonal sets	2024	Dmitriy Bilyk Damir Ferizović Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+	On the size of maximal binary codes with 2, 3, and 4 distances	2024	Alexander Barg Alexey Glazyrin Wei-Jiun Kao Ching–Yi Lai Pin-Chieh Tseng Wei-Hsuan Yu
+	Extensions of polynomial plank covering theorems	2023	Alexey Glazyrin Роман Карасев Alexandr Polyanskii
+	Experimental Survey of Discrete Minimizers of the $p-\text{frame}$ Energy	2023	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+	Optimizers of three-point energies and nearly orthogonal sets	2023	Dmitriy Bilyk Damir Ferizović Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+	Optimal Measures for Multivariate Geometric Potentials	2023	Dmitriy Bilyk Damir Ferizović Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+	Note on illuminating constant width bodies	2023	Alexey Glazyrin
+	On the total perimeter of disjoint convex bodies	2023	Arseniy Akopyan Alexey Glazyrin
+ PDF Chat	Covering by Planks and Avoiding Zeros of Polynomials	2022	Alexey Glazyrin Роман Карасев Alexandr Polyanskii
+ PDF Chat	Potential theory with multivariate kernels	2022	Dmitriy Bilyk Damir Ferizović Alexey Glazyrin Ryan W. Matzke Josiah Park Oleksandr Vlasiuk
+ PDF Chat	Optimal measures for $p$-frame energies on spheres	2022	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+	On the size of maximal binary codes with 2, 3, and 4 distances	2022	Alexander Barg Alexey Glazyrin Wei-Jiun Kao Ching–Yi Lai Pin-Chieh Tseng Wei-Hsuan Yu
+	Extensions of polynomial plank covering theorems	2022	Alexey Glazyrin Роман Карасев Alexandr Polyanskii
+ PDF Chat	Hexagon tilings of the plane that are not edge-to-edge	2021	Dirk Frettlöh Alexey Glazyrin Zsolt Lángi
+ PDF Chat	A Short Solution of the Kissing Number Problem in Dimension Three	2021	Alexey Glazyrin
+ PDF Chat	Domes over Curves	2021	Alexey Glazyrin Igor Pak
+ PDF Chat	Energy on spheres and discreteness of minimizing measures	2021	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+ PDF Chat	Covering by homothets and illuminating convex bodies	2021	Alexey Glazyrin
+	Covering by planks and avoiding zeros of polynomials	2021	Alexey Glazyrin Роман Карасев
+	Potential theory with multivariate kernels	2021	Dmitriy Bilyk Damir Ferizović Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+	Contact graphs of ball packings	2020	Alexey Glazyrin
+ PDF Chat	Repeated Minimizers of $p$-Frame Energies	2020	Alexey Glazyrin Josiah Park
+	Hexagon tilings of the plane that are not edge-to-edge.	2019	Dirk Frettlöh Alexey Glazyrin Zsolt Lángi
+	Energy on spheres and discreteness of minimizing measures	2019	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+	Optimal measures for p-frame energies on spheres	2019	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+	Moments of isotropic measures and optimal projective codes	2019	Alexey Glazyrin
+	Minimizing the $p$-frame potential	2019	Alexey Glazyrin
+	Hexagon tilings of the plane that are not edge-to-edge	2019	Dirk Frettlöh Alexey Glazyrin Zsolt Lángi
+	Energy on spheres and discreteness of minimizing measures	2019	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+	Optimal measures for p-frame energies on spheres	2019	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+	Moments of isotropic measures and optimal projective codes	2019	Alexey Glazyrin
+ PDF Chat	Covering a Ball by Smaller Balls	2018	Alexey Glazyrin
+ PDF Chat	Upper bounds for s-distance sets and equiangular lines	2018	Alexey Glazyrin Wei-Hsuan Yu
+ PDF Chat	Stability of the Simplex Bound for Packings by Equal Spherical Caps Determined by Simplicial Regular Polytopes	2018	Károly J. Böröczky Károly J. Böröczky Alexey Glazyrin Ágnes Kovács
+	Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes	2017	Károly J. Böröczky Károly J. Böröczky Alexey Glazyrin Ágnes Kovács
+	Stability of optimal spherical codes	2017	Károly J. Böröczky Alexey Glazyrin
+	Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes	2017	Károly J. Böröczky Károly J. Böröczky Alexey Glazyrin Ágnes Melinda Kovács
+ PDF Chat	The Voronoi functional is maximized by the Delaunay triangulation in the plane	2016	Herbert Edelsbrunner Alexey Glazyrin Oleg R. Musin Anton Nikitenko
+	Upper bounds for $s$-distance sets and equiangular lines	2016	Alexey Glazyrin Wei-Hsuan Yu
+ PDF Chat	Finite two-distance tight frames	2015	Alexander Barg Alexey Glazyrin Kasso A. Okoudjou Wei-Hsuan Yu
+	On maximum volume simplices in polytopes	2014	Arseniy Akopyan Alexey Glazyrin
+	Price of SDP relaxations for spherical codes (Designs, Codes, Graphs and Related Areas)	2014	Alexey Glazyrin Oleg R. Musin
+ PDF Chat	Functionals on Triangulations of Delaunay Sets	2014	Н. П. Долбилин Herbert Edelsbrunner Alexey Glazyrin Oleg R. Musin
+ PDF Chat	Upper bounds for the perimeter of plane convex bodies	2013	Alexey Glazyrin Filip Morić
+	Functionals on Triangulations of Delaunay Sets	2012	Nikolay Dolbilin Herbert Edelsbrunner Alexey Glazyrin Oleg R. Musin
+	Lower bounds for the simplexity of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si9.gif" display="inline" overflow="scroll"><mml:mi>n</mml:mi></mml:math>-cube	2012	Alexey Glazyrin
+	Functionals on Triangulations of Delaunay Sets	2012	Nikolay Dolbilin Herbert Edelsbrunner Alexey Glazyrin Oleg R. Musin
+ PDF Chat	The extremal spheres theorem	2010	Arseniy Akopyan Alexey Glazyrin Oleg R. Musin Alexey Tarasov
+	Anti-Dürer conjecture for non-convex polyhedra	2009	Alexey Glazyrin Aleksey S�rgeevich Tarasov
+	The Extremal Spheres Theorem	2009	Arseniy Akopyan Alexey Glazyrin Oleg R. Musin Alexey Tarasov
+	On simplicial partitions of polytopes	2009	Alexey Glazyrin
+	The Extremal Spheres Theorem	2009	Arseniy Akopyan Alexey Glazyrin Oleg R. Musin Alexey Tarasov
+	The Lonely Vertex Problem	2007	Dirk Frettlöh Alexey Glazyrin
+	The Lonely Vertex Problem	2007	Dirk Frettlöh Alexey Glazyrin

Common Coauthors

Coauthor	Papers Together
Josiah Park	13
Dmitriy Bilyk	12
Oleksandr Vlasiuk	12
Ryan Matzke	11
Oleg R. Musin	8
Arseniy Akopyan	6
Damir Ferizović	5
Károly J. Böröczky	5
Dirk Frettlöh	5
Herbert Edelsbrunner	4
Роман Карасев	4
Wei-Hsuan Yu	3
Alexander Barg	3
Alexandr Polyanskii	3
Zsolt Lángi	3
Alexey Tarasov	3
Pin-Chieh Tseng	2
Nikolay Dolbilin	2
Wei-Hsuan Yu	2
Ching–Yi Lai	2
Ágnes Kovács	2
Wei-Jiun Kao	2
Aleksey S�rgeevich Tarasov	1
Ágnes Melinda Kovács	1
Filip Morić	1
Anton Nikitenko	1
Igor Pak	1
Kasso A. Okoudjou	1
Н. П. Долбилин	1
Ryan W. Matzke	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Spherical codes and designs	1977	P. Delsarte J.-M. Goethals J.J. Seidel	13
+ PDF Chat	Minimization of the probabilistic p-frame potential	2011	Martin Ehler Kasso A. Okoudjou	9
+	Positive definite functions on spheres	1942	I. J. Schoenberg	9
+	Universally optimal distribution of points on spheres	2006	Henry Cohn Abhinav Kumar	8
+	None	2003	John J. Benedetto Matthew Fickus	7
+ PDF Chat	New bounds on the number of unit spheres that can touch a unit sphere in n dimensions	1979	Andrew Odlyzko N. J. A. Sloane	7
+ PDF Chat	The nonexistence of certain tight spherical designs	2005	Eiichi Bannaĭ Akihiro Munemasa Boris Venkov	7
+ PDF Chat	Universal optimal configurations for the p-frame potentials	2020	Xuemei Chen Vı́ctor M. González Eric Goodman Sung-Hoon Kang Kasso A. Okoudjou	6
+	New upper bounds for kissing numbers from semidefinite programming	2007	Christine Bachoc Frank Vallentin	6
+ PDF Chat	Symmetric informationally complete positive-operator-valued measures: A new computer study	2010	A.J. Scott Markus Grassl	6
+ PDF Chat	The kissing number in four dimensions	2008	Oleg R. Musin	6
+ PDF Chat	Tight spherical designs, I	1979	Eiichi Bannaĭ R. M. Damerell	5
+ PDF Chat	Symmetric informationally complete quantum measurements	2004	Joseph M. Renes Robin Blume-Kohout A.J. Scott Carlton M. Caves	5
+ PDF Chat	Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates	2003	José A. Carrillo Robert J. McCann Cédric Villani	5
+ PDF Chat	Nonlocal Interaction Equations in Environments with Heterogeneities and Boundaries	2015	Lijiang Wu Dejan Slepčev	5
+	Mutual interactions, potentials, and individual distance in a social aggregation	2003	Alex Mogilner L. Bent Äthan Spiros Leah Edelstein‐Keshet	5
+	Designs as maximum codes in polynomial metric spaces	1992	V.I. Levenshtein	5
+	Geometry of minimizers for the interaction energy with mildly repulsive potentials	2016	José A. Carrillo Alessio Figalli Francesco S. Patacchini	5
+ PDF Chat	Energy on spheres and discreteness of minimizing measures	2021	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk	5
+ PDF Chat	Nonlocal interactions by repulsive–attractive potentials: Radial ins/stability	2012	D. Balagué José A. Carrillo Thomas Laurent Gaël Raoul	5
+ PDF Chat	On the Support of Minimizers of Causal Variational Principles	2013	Felix Finster Daniela Schiefeneder	5
+	Two-Point Homogeneous Spaces	1952	Hsien-Chung Wang	5
+	On the Fejes Tóth problem about the sum of angles between lines	2018	Dmitriy Bilyk Ryan Matzke	4
+ PDF Chat	Optimal simplices and codes in projective spaces	2016	Henry Cohn Abhinav Kumar Gregory Minton	4
+	Hilbert Distances and Positive Definite Functions	1941	S. Bochner	4
+	Geodesic distance Riesz energy on the sphere	2018	Dmitriy Bilyk Chang‐Feng Dai	4
+	On Two-Distance Sets in Euclidean Space	1977	D Larman C. Rogers J.J. Seidel	4
+ PDF Chat	New Bounds for Spherical Two-Distance Sets	2013	Alexander Barg Wei-Hsuan Yu	4
+	On the existence of equiangular tight frames	2007	Mátyás A. Sustik Joel A. Tropp Inderjit S. Dhillon Robert W. Heath	4
+	Extremal dispositions of points on the sphere	1997	A. V. Kolushov V. A. Yudin А. В. Колущов В. А. Удин	4
+	Grassmannian frames with applications to coding and communication	2003	Thomas Strohmer Robert W. Heath	4
+ PDF Chat	Optimal measures for $p$-frame energies on spheres	2022	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk	4
+ PDF Chat	Finite two-distance tight frames	2015	Alexander Barg Alexey Glazyrin Kasso A. Okoudjou Wei-Hsuan Yu	4
+ PDF Chat	On tight spherical designs	2013	Gabriele Nebe Boris Venkov	4
+	Optimal measures for p-frame energies on spheres	2019	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk	4
+	Spherical two-distance sets	2009	Oleg R. Musin	4
+ PDF Chat	On tight projective designs	2008	Yu. I. Lyubich	4
+ PDF Chat	The Closest Packing of Spherical Caps in <i>n</i> Dimensions	1955	R. A. Rankin	4
+	Energy functionals, numerical integration and asymptotic equidistribution on the sphere	2002	Steven B. Damelin Peter J. Grabner	3
+	Research Problems in Discrete Geometry	2005	János Pach Peter Braß W. O. J. Moser	3
+ PDF Chat	Upper bounds for s-distance sets and equiangular lines	2018	Alexey Glazyrin Wei-Hsuan Yu	3
+	Über eine Punktverteilung auf der Kugel	1959	László Tóth	3
+	Positive definite kernels on homogeneous spaces and certain stochastic processes related to Lévy's brownian motion of several parameters	1967	Ramesh Gangolli	3
+ PDF Chat	A generalization of Larman–Rogers–Seidel’s theorem	2011	Hiroshi Nozaki	3
+ PDF Chat	Equiangular lines and spherical codes in Euclidean space	2017	Igor Balla Felix Dräxler Peter Keevash Benny Sudakov	3
+	A survey on spherical designs and algebraic combinatorics on spheres	2009	Eiichi Bannaĭ Etsuko Bannai	3
+	Tight t-Designs and Squarefree Integers	1989	Eiichi Bannaĭ S. G. Hoggar	3
+	Cubature for the Sphere and the Discrete Spherical Harmonic Transform	1995	Mark A. Taylor	3
+	Optimal frames for erasures	2003	Roderick B Holmes Vern I. Paulsen	3
+	t-Designs in Projective Spaces	1982	S. G. Hoggar	3