24 citations · 185 across the 18 of their papers we have counts for
4 papers · 1 filter
Painlevé III and the Hankel Determinant Generated by a Singularly Perturbed Gaussian Weight
Chao Min, Shulin Lyu, Yang Chen
In this paper, we study the Hankel determinant generated by a singularly perturbed Gaussian weight $$ w(x,t)=\mathrm{e}^{-x^{2}-\frac{t}{x^{2}}},\;\;x\in(-\infty, \infty),\;\;t>0.…
Linear Statistics of Random Matrix Ensembles at the Spectrum Edge Associated with the Airy Kernel
Chao Min, Yang Chen
In this paper, we study the large behavior of the moment-generating function (MGF) of the linear statistics of Hermitian matrices in the Gaussian unitary, symplecti…
Gap Probability Distribution of the Jacobi Unitary Ensemble: An Elementary Treatment, from Finite to Double Scaling
Chao Min, Yang Chen
In this paper, we study the gap probability problem of the (symmetric) Jacobi unitary ensemble of Hermitian random matrices, namely the probability that the interval $(-a,a)\:(0<a<…
Painlevé Transcendents and the Hankel Determinants Generated by a Discontinuous Gaussian Weight
Chao Min, Yang Chen
This paper studies the Hankel determinants generated by a discontinuous Gaussian weight with one and two jumps. It is an extension of Chen and Pruessner \cite{Chen2005}, in which t…