4 papers
Eigenvector distribution of random matrices under critical finite-rank deformations
Zhigang Bao, Dong Wang, Yue Zhu
We investigate the eigenvector distribution at the soft edge for Gaussian random matrices with finite-rank deformations, in the critical regime of BBP transition. For finite-rank d…
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 reg…
Hard edge universality of Muttalib-Borodin ensembles with real parameter
Dong Wang
We analyse the hard edge limit of the Muttalib-Borodin ensembles with general potential, and show that the limiting correlation kernel found in the ensemble with linear potential i…