26 citations · 59 across the 14 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math-ph2020★ 1 cited
Gaussian unitary ensemble with two jump discontinuities, PDEs and the coupled Painlevé II and IV systems
Shulin Lyu, Yang Chen
We consider the Hankel determinant generated by the Gaussian weight with two jump discontinuities. Utilizing the results of [C. Min and Y. Chen, Math. Meth. Appl. Sci. {\bf 42} (20…
math-ph2020
The Smallest Eigenvalue Distribution of the Jacobi Unitary Ensembles
Shulin Lyu, Yang Chen
In the hard edge scaling limit of the Jacobi unitary ensemble generated by the weight , the probability that all eigenvalues of Hermitian matrices fro…
math-ph2020★ 2 cited
Asymptotics of the Largest Eigenvalue Distribution of the Laguerre Unitary Ensemble
Shulin Lyu, Chao Min, Yang Chen
We study the probability that all the eigenvalues of Hermitian matrices, from the Laguerre unitary ensemble with the weight $x^γ\mathrm{e}^{-4nx},\;x\in[0,\infty),\;γ>-…