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

Francesco Mezzadri, Alexi Reynolds, Brian Winn

Research output: Contribution to journalArticle (Academic Journal)

3 Citations (Scopus)
208 Downloads (Pure)

Abstract

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, the moments are linear combinations of averages of Jack polynomials, whose coefficients are related to specific examples of Jack characters.
Original languageEnglish
Article number1034
Number of pages24
JournalNonlinearity
Volume30
Issue number3
Early online date2 Feb 2017
DOIs
Publication statusPublished - Mar 2017

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