Yutao Ma

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math.PR2023

Nonstandard limit theorems and large deviation for beta -Jacobi ensembles with a different scaling

Yutao Ma, Yong-Hua Mao, Siyu Wang

We consider $β$ -Jacobi ensembles with parameters $p_{1}, p_{2} \geq n .$ We prove that the empirical measure of the rescaled Jacobi ensembles converges weakly to a modified Watcher law v…

math.PR2018

Approximation of Beta-Jacobi ensembles by Beta-Laguerre ensembles

Yutao Ma, Xinmei Shen

Let $λ$ and $μ$ be beta-Jacobi and beta-Laguerre ensembles with joint density function $f_{β, m, a_{1}, a_{2}}$ and $f_{β, m, a_{1}}$ , respectively. Here $β > 0$ and $a_{1}, a_{2}$ and $m$ sat…