Maximizing expected powers of the angle between pairs of points in projective space

DOI10.1007/s00440-022-01108-1OpenAlexW4210661217MaRDI QIDQ2099823

Robert J. McCann, Tongseok Lim

Publication date: 18 November 2022

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.13052

zbMATH Keywords

projective spaceframespherical designsRiesz energyinfinite-dimensional quadratic programminggreat circle distance\(d_\infty \)-local\(L^\infty \)-Kantorovich-rubinstein-Wasserstein metricattractive-repulsive potentialsextremal problems of distance geometryinteraction energy minimizationmild repulsion limitoptimization in curved spaces

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Variational methods for problems in mechanics (70G75) Other designs, configurations (05B30) Inequalities and extremum problems involving convexity in convex geometry (52A40) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Optimal transportation (49Q22)

Related Items (2)

On the Cardinality of Sets in $R^d$ Obeying a Slightly Obtuse Angle Bound ⋮ Classifying minimum energy states for interacting particles: regular simplices

Cites Work

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