Rigidity and Edge Universality of Discrete β‐Ensembles

DOI10.1002/cpa.21818zbMath1455.60014arXiv1705.05527OpenAlexW2964022660MaRDI QIDQ5243672

Jiaoyang Huang, Alice Guionnet

Publication date: 19 November 2019

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05527

zbMATH Keywords

rigidity estimatesdiscrete \(\beta\)-ensembles

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Probability distributions: general theory (60E05)

Related Items (9)

Large deviations for discrete \(\beta\)-ensembles ⋮ Asymptotics of discrete \(\beta \)-corners processes via two-level discrete loop equations ⋮ Cusp universality for random matrices. I: Local law and the complex Hermitian case ⋮ A global large deviation principle for discrete \(\beta \)-ensembles ⋮ Edge statistics for Lozenge tilings of polygons. I: Concentration of height function on strip domains ⋮ Rigidity of eigenvalues for \(\beta\) ensemble in multi-cut regime ⋮ Dyson Brownian motion for general \(\beta\) and potential at the edge ⋮ Non-orientable branched coverings, \(b\)-Hurwitz numbers, and positivity for multiparametric Jack expansions ⋮ Optimal local law and central limit theorem for \(\beta\)-ensembles

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