57 citations · 241 across the 25 of their papers we have counts for
25 papers
Asymptotics and total integrals of the tritronquée solution and its Hamiltonian
Dan Dai, Wen-Gao Long
We study the tritronquée solution of the equation, the second member of the Painlevé I hierarchy. This solution is pole-free on the real line and…
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel
Dan Dai, Yu Zhai
In this paper, we consider the deformed Fredholm determinant of the confluent hypergeometric kernel. This determinant represents the gap probability of the corresponding determinan…
Gap probability for the hard edge Pearcey process
Dan Dai, Shuai-Xia Xu, Lun Zhang
The hard edge Pearcey process is universal in random matrix theory and many other stochastic models. This paper deals with the gap probability for the thinned/unthinned hard edge P…
Uniform asymptotics for the discrete Laguerre polynomials
Dan Dai, Luming Yao
In this paper, we consider the discrete Laguerre polynomials orthogonal with respect to the weight function supported on the infinite nodes $L_…
On the deformed Pearcey determinant
Dan Dai, Shuai-Xia Xu, Lun Zhang
In this paper, we are concerned with the deformed Pearcey determinant , where and stands for the tra…
Asymptotics of Fredholm determinant associated with the Pearcey kernel
Dan Dai, Shuai-Xia Xu, Lun Zhang
The Pearcey kernel is a classical and universal kernel arising from random matrix theory, which describes the local statistics of eigenvalues when the limiting mean eigenvalue dens…