13 citations · 42 across the 8 of their papers we have counts for
4 papers · 1 filter
Moment generating function of the tacnode process
Taiyang Xu
The tacnode process is a universal determinantal point process arising in non-intersecting particle systems and random tiling models. In this paper, we study the generating functio…
Confluent hypergeometric kernel determinant on multiple large intervals
Taiyang Xu, Lun Zhang, Zhengyang Zhao
The confluent hypergeometric point process represents a universality class which arises in a variety of different but related areas. It particularly describes the local statistics…
Painlevé transcendents in the defocusing mKdV equation with non-zero boundary conditions
Zhaoyu Wang, Taiyang Xu, Engui Fan
We consider the Cauchy problem for the defocusing modified Korteweg-de Vries (mKdV) equation with non-zero boundary conditions \begin{align} &q_t(x,t)-6q^2(x,t)q_{x}(x,t)+q_{xxx}(x…
Large-time asymptotics to the focusing nonlocal modified Kortweg-de Vries equation with step-like boundary conditions
Taiyang Xu, Engui Fan
We investigate the large-time asymptotics of solution for the Cauchy problem of the nonlocal focusing modified Kortweg-de Vries (MKdV) equation with step-like initial data, i.e., $…