Poisson statistics for beta ensembles on the real line at high temperature

DOI10.1007/s10955-020-02542-yzbMath1437.60014arXiv1910.00766OpenAlexW3102398949MaRDI QIDQ2175128

Trinh Khanh Duy, Fumihiko Nakano

Publication date: 28 April 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00766

zbMATH Keywords

large deviation principlePoisson statisticsbeta ensembleshigh temperature

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (9)

On the mean density of states of some matrices related to the beta ensembles and an application to the Toda lattice ⋮ Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation ⋮ Limit theorems and large deviations for \(\beta\)-Jacobi ensembles at scaling temperatures ⋮ Unified limits and large deviation principles for \(\beta\)-Laguerre ensembles in global regime ⋮ Limit theorems for moment processes of beta Dyson’s Brownian motions and beta Laguerre processes ⋮ Gaussian fluctuations and free energy expansion for Coulomb gases at any temperature ⋮ Large deviations for Ablowitz-Ladik lattice, and the Schur flow ⋮ Beta Jacobi ensembles and associated Jacobi polynomials ⋮ Poisson statistics for Gibbs measures at high temperature

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