Local universality of repulsive particle systems and random matrices

DOI10.1214/13-AOP844zbMath1301.60009arXiv1205.0671MaRDI QIDQ471146

Martin Venker, Friedrich Götze

Publication date: 14 November 2014

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0671

zbMATH Keywords

random matricesuniversalitysine kernelrepulsive particles

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Random matrices (probabilistic aspects) (60B20) Interacting particle systems in time-dependent statistical mechanics (82C22)

Related Items (9)

Precise deviations results for the maxima of some determinantal point processes: the upper tail ⋮ Edge statistics for a class of repulsive particle systems ⋮ First-order global asymptotics for confined particles with singular pair repulsion ⋮ Stability of the matrix Dyson equation and random matrices with correlations ⋮ Universality in several-matrix models via approximate transport maps ⋮ Second order concentration via logarithmic Sobolev inequalities ⋮ Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices ⋮ A note on the second order universality at the edge of Coulomb gases on the plane ⋮ Convergence and asymptotic approximations to universal distributions in probability

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