4 papers
Critical Hermitian matrix model with external source and Boussinesq hierarchy
Dong Wang, Shuai-Xia Xu
We consider the random Hermitian matrix model of dimension , with external source, defined by the probability density function \begin{equation*} \frac{1}{Z_{2n}} \lvert \det(M)…
Hard to soft edge transition for the Muttalib-Borodin ensembles with integer parameter
Dong Wang, Shuai-Xia Xu
We find the universal limiting correlation kernels of the Muttalib-Borodin (MB) ensembles with integer parameter at in the transitive regime between the hard edge re…
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…
Asymptotics of the finite-temperature sine kernel determinant
Shuai-Xia Xu
In the present paper, we study the asymptotics of the Fredholm determinant of the finite-temperature deformation of the sine kernel, which represents the probability that…