1 citations · 1 across the 1 of their papers we have counts for
2 papers
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-ph2018
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.…