Isodiametry, variance, and regular simplices from particle interactions
From MaRDI portal
Publication:2036636
DOI10.1007/s00205-021-01632-9zbMath1470.49038arXiv1907.13593OpenAlexW3157227365MaRDI QIDQ2036636
Tongseok Lim, Robert J. McCann
Publication date: 30 June 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.13593
Existence of optimal solutions to problems involving randomness (49J55) Optimal transportation (49Q22)
Related Items
Geometrical Bounds for Variance and Recentered Moments ⋮ Classifying Minimum Energy States for Interacting Particles: Spherical Shells ⋮ On the strong attraction limit for a class of nonlocal interaction energies ⋮ Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D ⋮ Classifying minimum energy states for interacting particles: regular simplices ⋮ Energy on spheres and discreteness of minimizing measures ⋮ Maximizing expected powers of the angle between pairs of points in projective space ⋮ From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials ⋮ Generalized barycenters and variance maximization on metric spaces ⋮ Sharp stability for the interaction energy
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