Shuai-Xia Xu

collaborators

3 papers

math-ph2025

Critical Hermitian matrix model with external source and Boussinesq hierarchy

Dong Wang, Shuai-Xia Xu

We consider the random Hermitian matrix model of dimension $2 n$ , with external source, defined by the probability density function \begin{equation*} \frac{1}{Z_{2n}} \lvert \det(M)…

math-ph2025

Hard to soft edge transition for the Muttalib-Borodin ensembles with integer parameter $θ$

Dong Wang, Shuai-Xia Xu

We find the universal limiting correlation kernels of the Muttalib-Borodin (MB) ensembles with integer parameter $θ \geq 2$ at $0$ in the transitive regime between the hard edge reg…

math-ph2025

The multiplicative constant in asymptotics of higher-order analogues of the Tracy-Widom distribution

Dan Dai, Wen-Gao Long, Shuai-Xia Xu +2

In this paper, we are concerned with higher-order analogues of the Tracy-Widom distribution, which describe the eigenvalue distributions in unitary random matrix models near critic…

Critical Hermitian matrix model with external source and Boussinesq hierarchy

Hard to soft edge transition for the Muttalib-Borodin ensembles with integer parameter θ

The multiplicative constant in asymptotics of higher-order analogues of the Tracy-Widom distribution

Hard to soft edge transition for the Muttalib-Borodin ensembles with integer parameter $θ$