Moments of the eigenvalue densities and of the secular coefficients of β-ensembles

© 2017 IOP Publishing Ltd & London Mathematical Society.We compute explicit formulae for the moments of the densities of the eigenvalues of the classical β-ensembles for finite matrix dimension as well as the expectation values of the coefficients of the characteristic polynomials. In particular...

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Bibliographic Details
Main Authors: Francesco Mezzadri, Alexi K. Reynolds, Brian Winn
Format: Default Article
Published: 2017
Subjects:
Other mathematical sciences not elsewhere classified
Random matrix theory
β-ensembles
Jack polynomials
Jack characters
Multivariate orthogonal polynomials
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/34067
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