# On spectral measures of Random Jacobi matrices

Trinh Khanh Duy

10 被引用数 (Scopus)

## 抄録

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.

本文言語 English 595-617 23 Osaka Journal of Mathematics 55 4 Published - 2018 10月

• 数学 (全般)

## フィンガープリント

「On spectral measures of Random Jacobi matrices」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。