Moments of the eigenvalue densities and of the secular coefficients ofβ-ensembles
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Publication:5346734
DOI10.1088/1361-6544/aa518czbMath1362.15027arXiv1510.02390OpenAlexW2963532307MaRDI QIDQ5346734
Francesco Mezzadri, Alexi K. Reynolds, Brian Winn
Publication date: 29 May 2017
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.02390
random matrix theoryJack polynomialsmultivariate orthogonal polynomials\(\beta\)-ensemblesJack characters
Symmetric functions and generalizations (05E05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Random matrices (algebraic aspects) (15B52)
Related Items
High–low temperature dualities for the classical β-ensembles ⋮ Joint moments of a characteristic polynomial and its derivative for the circular \(\beta \)-ensemble ⋮ Differential recurrences for the distribution of the trace of the \(\beta\)-Jacobi ensemble ⋮ Moments of the position of the maximum for GUE characteristic polynomials and for log-correlated Gaussian processes ⋮ Finiteness of inverse moments of (m,n,β)-Laguerre matrices ⋮ Spectral statistics of the uni-modular ensemble ⋮ Test set sizing via random matrix theory ⋮ Large N expansions for the Laguerre and Jacobi β-ensembles from the loop equations ⋮ Secular coefficients and the holomorphic multiplicative chaos ⋮ \(\beta\)-ensembles and higher genera Catalan numbers ⋮ Symmetric function theory and unitary invariant ensembles ⋮ Relations between moments for the Jacobi and Cauchy random matrix ensembles ⋮ The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain ⋮ Linear differential equations for the resolvents of the classical matrix ensembles ⋮ Schur expansion of random-matrix reproducing kernels
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Cites Work
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