88 citations · 390 across the 36 of their papers we have counts for
36 papers
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…
Transient asymptotics of the modified Camassa-Holm equation
Taiyang Xu, Yiling Yang, Lun Zhang
We investigate long time asymptotics of the modified Camassa-Holm equation in three transition zones under a nonzero background. The first transition zone lies between the soliton…
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…
Asymptotics of the hard edge Pearcey determinant
Luming Yao, Lun Zhang
We study the Fredholm determinant of an integral operator associated to the hard edge Pearcey kernel. This determinant appears in a variety of random matrix and non-intersecting pa…
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…
Higher order Airy and Painlevé asymptotics for the mKdV hierarchy
Lin Huang, Lun Zhang
In this paper, we consider Cauchy problem for the modified Korteweg-de Vries hierarchy on the real line with decaying initial data. Using the Riemann--Hilbert formulation and nonli…