Concentration for Coulomb gases on compact manifolds
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Publication:2631806
DOI10.1214/19-ECP211zbMath1412.60011arXiv1809.04231MaRDI QIDQ2631806
Publication date: 16 May 2019
Published in: Electronic Communications in Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.04231
heat kernelGibbs measureGreen functionconcentration of measureCoulomb gasempirical measureinteracting particle systemsingular potential
Probability measures on topological spaces (60B05) Heat equation (35K05) Statistical mechanics of gases (82D05) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (9)
Edge fluctuations for random normal matrix ensembles ⋮ Edge behavior of two-dimensional Coulomb gases near a hard wall ⋮ The spherical ensemble and quasi-Monte-Carlo designs ⋮ Local laws and rigidity for Coulomb gases at any temperature ⋮ Positive-definite functions, exponential sums and the greedy algorithm: a curious phenomenon ⋮ Poisson statistics for Gibbs measures at high temperature ⋮ A Wasserstein inequality and minimal Green energy on compact manifolds ⋮ Ground states and hyperuniformity of the hierarchical Coulomb gas in all dimensions ⋮ Concentration inequality around the thermal equilibrium measure of Coulomb gases
Cites Work
- Overcrowding estimates for zeroes of planar and hyperbolic Gaussian analytic functions
- Smooth approximation of Lipschitz functions on Riemannian manifolds
- Systems of points with Coulomb interactions
- Concentration for Coulomb gases and Coulomb transport inequalities
- Discrete and continuous Green energy on compact manifolds
- Free transport-entropy inequalities for non-convex potentials and application to concentration for random matrices
- A large deviation principle for empirical measures on Polish spaces: application to singular Gibbs measures on manifolds
- Higher-Dimensional Coulomb Gases and Renormalized Energy Functionals
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