Ryan Matzke

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All published works

Action	Title	Year	Authors
+	Minimizers for an Aggregation Model with Attractive–Repulsive Interaction	2025	Rupert L. Frank Ryan Matzke
+ PDF Chat	Geodesic Distance Riesz Energy on Projective Spaces	2024	Dmitriy Bilyk Ryan Matzke Joel Nathe
+ PDF Chat	Babai Numbers and Babai Spectra of Paths and Cycles	2024	Peter M. Johnson Celalettin Kaya Ryan Matzke
+ PDF Chat	Optimizers of three-point energies and nearly orthogonal sets	2024	Dmitriy Bilyk Damir Ferizović Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+ PDF Chat	Riesz Energy with a Radial External Field: When is the Equilibrium Support a Sphere?	2024	Djalil Chafaï Ryan Matzke Edward B. Saff Minh Quan H. Vu Robert S. Womersley
+ PDF Chat	Riesz energy, L2$L^2$ discrepancy, and optimal transport of determinantal point processes on the sphere and the flat torus	2024	Bence Borda Peter J. Grabner Ryan Matzke
+	Experimental Survey of Discrete Minimizers of the $p-\text{frame}$ Energy	2023	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+ PDF Chat	Riesz and Green energy on projective spaces	2023	Austin Anderson Maria Dostert Peter J. Grabner Ryan Matzke Тетяна Степанюк
+	Polarization and Greedy Energy on the Sphere	2023	Dmitriy Bilyk Michelle Mastrianni Ryan Matzke Stefan Steinerberger
+	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
+	A random line intersects $\mathbb{S}^2$ in two probabilistically independent locations	2023	Dmitriy Bilyk Alan Chang Otte Heinävaara Ryan Matzke Stefan Steinerberger
+	Minimizers for an aggregation model with attractive-repulsive interaction	2023	Rupert L. Frank Ryan Matzke
+	Riesz Energy, $L^2$ Discrepancy, and Optimal Transport of Determinantal Point Processes on the Sphere and the Flat Torus	2023	Bence Borda Peter J. Grabner Ryan Matzke
+ PDF Chat	Positive definiteness and the Stolarsky invariance principle	2022	Dmitriy Bilyk Ryan Matzke Oleksandr Vlasiuk
+ PDF Chat	Optimal measures for $p$-frame energies on spheres	2022	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+	Riesz and Green energy on projective spaces	2022	Austin Anderson Maria Dostert Peter J. Grabner Ryan Matzke Тетяна Степанюк
+	Problems with a lot of Potential: Energy Optimization on Compact Spaces	2021	Ryan Matzke
+ PDF Chat	Energy on spheres and discreteness of minimizing measures	2021	Dmitriy Bilyk Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+ PDF Chat	On subgraphs with prescribed eccentricities	2021	Peter Dankelmann Matthew DeVilbiss David Erwin Kelly Guest Ryan Matzke
+	Potential theory with multivariate kernels	2021	Dmitriy Bilyk Damir Ferizović Alexey Glazyrin Ryan Matzke Josiah Park Oleksandr Vlasiuk
+	Positive definiteness and the Stolarsky invariance principle	2021	Dmitriy Bilyk Ryan Matzke Oleksandr Vlasiuk
+	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
+	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
+	THE MAXIMUM SIZE OF -SUM-FREE SETS IN CYCLIC GROUPS	2018	Béla Bajnok Ryan Matzke
+	On the Fejes Tóth problem about the sum of angles between lines	2018	Dmitriy Bilyk Ryan Matzke
+	On the Fejes T\'oth Problem about the Sum of Angles Between Lines	2018	Dmitriy Bilyk Ryan Matzke
+ PDF Chat	The Stolarsky Principle and Energy Optimization on the Sphere	2018	Dmitriy Bilyk Feng Dai Ryan Matzke
+	The Maximum Size of $(k,l)$-Sum-Free Sets in Cyclic Groups	2018	Béla Bajnok Ryan Matzke
+	Edge Grundy numbers of the regular Turán graphs.	2018	Matthew DeVilbiss Peter D. Johnson Ryan Matzke
+	On the Fejes Tóth Problem about the Sum of Angles Between Lines	2018	Dmitriy Bilyk Ryan Matzke
+	Stolarsky principle and energy optimization on the sphere	2016	Dmitriy Bilyk Feng Dai Ryan Matzke
+	Stolarsky principle and energy optimization on the sphere	2016	Dmitriy Bilyk Dai Feng Ryan Matzke
+	On the minimum size of signed sumsets in elementary abelian groups	2015	Béla Bajnok Ryan Matzke
+ PDF Chat	The Minimum Size of Signed Sumsets	2015	Béla Bajnok Ryan Matzke
+	The Minimum Size of Signed Sumsets	2014	Béla Bajnok Ryan Matzke
+	On the Minimum Size of Signed Sumsets in Elementary Abelian Groups	2014	Béla Bajnok Ryan Matzke
+	On the Minimum Size of Signed Sumsets in Elementary Abelian Groups	2014	Béla Bajnok Ryan Matzke
+	The Minimum Size of Signed Sumsets	2014	Béla Bajnok Ryan Matzke

Common Coauthors

Coauthor	Papers Together
Dmitriy Bilyk	22
Oleksandr Vlasiuk	13
Josiah Park	11
Alexey Glazyrin	11
Béla Bajnok	8
Peter J. Grabner	4
Damir Ferizović	4
Matthew DeVilbiss	2
Тетяна Степанюк	2
Rupert L. Frank	2
Bence Borda	2
Maria Dostert	2
Stefan Steinerberger	2
Austin Anderson	2
Feng Dai	2
Peter D. Johnson	1
Joel Nathe	1
Alan Chang	1
Peter Dankelmann	1
Celalettin Kaya	1
Peter M. Johnson	1
Otte Heinävaara	1
Kelly Guest	1
Minh Quan H. Vu	1
David Erwin	1
Djalil Chafaï	1
Dai Feng	1
Michelle Mastrianni	1
Edward B. Saff	1
Robert S. Womersley	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	None	2003	John J. Benedetto Matthew Fickus	10
+ PDF Chat	Minimization of the probabilistic p-frame potential	2011	Martin Ehler Kasso A. Okoudjou	9
+ PDF Chat	Nonlocal interactions by repulsive–attractive potentials: Radial ins/stability	2012	D. Balagué José A. Carrillo Thomas Laurent Gaël Raoul	7
+	Geometry of minimizers for the interaction energy with mildly repulsive potentials	2016	José A. Carrillo Alessio Figalli Francesco S. Patacchini	7
+	Über eine Punktverteilung auf der Kugel	1959	László Tóth	6
+	Geodesic distance Riesz energy on the sphere	2018	Dmitriy Bilyk Chang‐Feng Dai	6
+	Mutual interactions, potentials, and individual distance in a social aggregation	2003	Alex Mogilner L. Bent Äthan Spiros Leah Edelstein‐Keshet	6
+ PDF Chat	Nonlocal Interaction Equations in Environments with Heterogeneities and Boundaries	2015	Lijiang Wu Dejan Slepčev	6
+ PDF Chat	Sums of Distances Between Points on a Sphere	1972	Kenneth B. Stolarsky	6
+	Spherical codes and designs	1977	P. Delsarte J.-M. Goethals J.J. Seidel	6
+ PDF Chat	Symmetric informationally complete positive-operator-valued measures: A new computer study	2010	A.J. Scott Markus Grassl	6
+ PDF Chat	On the Support of Minimizers of Causal Variational Principles	2013	Felix Finster Daniela Schiefeneder	6
+ 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	6
+	Universally optimal distribution of points on spheres	2006	Henry Cohn Abhinav Kumar	5
+	Two-Point Homogeneous Spaces	1952	Hsien-Chung Wang	5
+	A simple proof of Stolarsky’s invariance principle	2013	Johann S. Brauchart Josef Dick	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	Symmetric informationally complete quantum measurements	2004	Joseph M. Renes Robin Blume-Kohout A.J. Scott Carlton M. Caves	5
+	Positive definite kernels on homogeneous spaces and certain stochastic processes related to Lévy's brownian motion of several parameters	1967	Ramesh Gangolli	5
+	Positive definite functions on spheres	1942	I. J. Schoenberg	5
+	t-Designs in Projective Spaces	1982	S. G. Hoggar	4
+	XVI. Functions of positive and negative type, and their connection the theory of integral equations	1909	James W. Mercer	4
+	Hilbert Distances and Positive Definite Functions	1941	S. Bochner	4
+	Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry	1984	József Beck	4
+	The spanning number and the independence number of a subset of an abelian group	2004	Béla Bajnok	4
+ PDF Chat	Tight spherical designs, I	1979	Eiichi Bannaĭ R. M. Damerell	4
+	Energy functionals, numerical integration and asymptotic equidistribution on the sphere	2002	Steven B. Damelin Peter J. Grabner	4
+	Old and new formulas for the Hopf–Stiefel and related functions	2005	Shalom Eliahou Michel Kervaire	4
+ PDF Chat	On tight projective designs	2008	Yu. I. Lyubich	4
+	Designs as maximum codes in polynomial metric spaces	1992	V.I. Levenshtein	4
+ PDF Chat	Orthogonal Polynomials	1971		4
+	The independence number of a subset of an Abelian group.	2003	Béla Bajnok Imre Z. Ruzsa	4
+ PDF Chat	The nonexistence of certain tight spherical designs	2005	Eiichi Bannaĭ Akihiro Munemasa Boris Venkov	4
+	Harmonic Analysis on Commutative Spaces	2007	Joseph A. Wolf	4
+	Extremal dispositions of points on the sphere	1997	A. V. Kolushov V. A. Yudin А. В. Колущов В. А. Удин	4
+	About the second term of the asymptotics for optimal Riesz energy on the sphere in the potential-theoretical case	2006	Johann S. Brauchart	4
+ PDF Chat	Universal optimal configurations for the p-frame potentials	2020	Xuemei Chen Vı́ctor M. González Eric Goodman Sung-Hoon Kang Kasso A. Okoudjou	4
+	Tight 4 and 5-designs in projective spaces	1989	S. G. Hoggar	4
+ PDF Chat	Asymptotics for minimal discrete energy on the sphere	1998	Arno B. J. Kuijlaars E. B. Saff	3
+ PDF Chat	The Stolarsky Principle and Energy Optimization on the Sphere	2018	Dmitriy Bilyk Feng Dai Ryan Matzke	3
+ PDF Chat	Some upper bounds in the theory of irregularities of distribution	1984	József Beck	3
+	Lower bounds for spherical designs	1997	V. A. Yudin	3
+	On extremal measures and subspace density.	1964	R. G. Douglas	3
+	A note on the metric geometry of the unit ball	2010	Aicke Hinrichs Peter Nickolas Reinhard Wolf	3
+ PDF Chat	SIC-POVMs: A new computer study	2009	A.J. Scott Markus Grassl	3
+ PDF Chat	On Representer Theorems and Convex Regularization	2019	Claire Boyer Antonin Chambolle Yohann de Castro Vincent Duval Frédéric de Gournay Pierre Weiss	3
+	A construction of spherical 2-design	1990	Yoshio Mimura	3
+	On Energy, Discrepancy and Group Invariant Measures on Measurable Subsets of Euclidean Space	2010	Steven B. Damelin Fred J. Hickernell David L. Ragozin Xiangfeng Zeng	3
+ PDF Chat	Average case complexity of multivariate integration	1991	H. Woźniakowski	3
+	Tight t-Designs and Squarefree Integers	1989	Eiichi Bannaĭ S. G. Hoggar	3