Optimal soft edge scaling variables for the Gaussian and Laguerre even \(\beta\) ensembles

DOI10.1016/j.nuclphysb.2018.12.006zbMath1405.60010arXiv1812.07750OpenAlexW2903953512MaRDI QIDQ1710205

Allan K. Trinh, Peter J. Forrester

Publication date: 15 January 2019

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07750

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Recurrences (11B37) Random matrices (algebraic aspects) (15B52) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

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Consecutive level spacings in the chiral Gaussian unitary ensemble: from the hard and soft edge to the bulk, Extreme eigenvalue distributions of Jacobi ensembles: new exact representations, asymptotics and finite size corrections, The Bessel line ensemble, Computable structural formulas for the distribution of the \(\beta\)-Jacobi edge eigenvalues, Finite size corrections relating to distributions of the length of longest increasing subsequences, Asymptotic correlations with corrections for the circular Jacobi \(\beta\)-ensemble, Linear differential equations for the resolvents of the classical matrix ensembles, Recursion scheme for the largest $\beta$ -Wishart–Laguerre eigenvalue and Landauer conductance in quantum transport

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