On spectral measures of Random Jacobi matrices

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The paper studies the limiting behaviour of spectral measures of random Jacobi matrices of Gaussian, Wishart and MANOVA beta ensembles. We show that the spectral measures converge weakly to a limit distribution which is the semicircle distribution, Marchenko-Pastur distributions or Kesten-McKay distributions, respectively. The Gaussian fluctuation around the limit is then investigated.

Original languageEnglish
Pages (from-to)595-617
Number of pages23
JournalOsaka Journal of Mathematics
Issue number4
Publication statusPublished - 2018 Oct 1
Externally publishedYes


ASJC Scopus subject areas

  • Mathematics(all)

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