3 papers
math-ph2026
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…
math-ph2025
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…
math.AP2023
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…