88 citations · 390 across the 36 of their papers we have counts for
18 papers · 1 filter
A dense focusing Ablowitz-Ladik soliton gas and its asymptotics
Meisen Chen, Engui Fan, Zhaoyu Wang +2
In this paper, we propose a soliton gas solution for the focusing Ablowitz-Ladik system. This solution is defined as the large N limit of the N-soliton solution, and arises from a…
On the gap probability of the tacnode process
Luming Yao, Lun Zhang
The tacnode process is a universal determinantal point process arising from non-intersecting particle systems and tiling problems. It is the aim of this work to explore the integra…
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…
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…
Large n limit for the product of two coupled random matrices
Guilherme L. F. Silva, Lun Zhang
For a pair of coupled rectangular random matrices we consider the squared singular values of their product, which form a determinantal point process. We show that the limiting mean…