A unified fluctuation formula for one-cutβ-ensembles of random matrices

DOI10.1088/1751-8113/48/31/315204zbMath1329.82120arXiv1405.4763OpenAlexW3103867097MaRDI QIDQ3448383

Pierpaolo Vivo, Fabio Deelan Cunden, Francesco Mezzadri

Publication date: 23 October 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4763

zbMATH Keywords

matrix modelscorrelated random variables2D Coulomb gas

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Statistical mechanics of gases (82D05)

Related Items (9)

Moments of the eigenvalue densities and of the secular coefficients ofβ-ensembles ⋮ Large deviations and phase transitions in spectral linear statistics of Gaussian random matrices ⋮ Dynamical signatures of Chaos to integrability crossover in 2×2 generalized random matrix ensembles ⋮ Large N expansions for the Laguerre and Jacobi β-ensembles from the loop equations ⋮ A review of exact results for fluctuation formulas in random matrix theory ⋮ Laguerre ensemble: correlators, Hurwitz numbers and Hodge integrals ⋮ Linear statistics of random matrix ensembles at the spectrum edge associated with the Airy kernel ⋮ Large deviations of spread measures for Gaussian matrices ⋮ Moments of random matrices and hypergeometric orthogonal polynomials

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