6 citations · 7 across the 6 of their papers we have counts for
9 papers
Asymptotics of Fredholm determinant solutions of the noncommutative Painlevé II equation
Jia-Hao Du, Shuai-Xia Xu, Yu-Qiu Zhao
In this paper, we study the asymptotic behavior of a family of pole-free solutions to the noncommutative Painlevé II equation. These particular solutions can be expressed in terms…
Large time and distance asymptotics of the one-dimensional impenetrable Bose gas and Painlevé IV transition
Zhi-Xuan Meng, Shuai-Xia Xu, Yu-Qiu Zhao
In the present paper, we study the time-dependent correlation function of the one-dimensional impenetrable Bose gas, which can be expressed in terms of the Fredholm determinant of…
Asymptotics of the partition function of the perturbed Gross-Witten-Wadia unitary matrix model
Yu Chen, Shuai-Xia Xu, Yu-Qiu Zhao
We consider the asymptotics of the partition function of the extended Gross-Witten-Wadia unitary matrix model by introducing an extra logarithmic term in the potential. The partiti…
Singular asymptotics for the Clarkson-McLeod solutions of the fourth Painlevé equation
Jun Xia, Shuai-Xia Xu, Yu-Qiu Zhao
We consider the Clarkson-McLeod solutions of the fourth Painlevé equation. This family of solutions behave like as , where $…
Isomonodromy sets of accessory parameters for Heun class equations
Jun Xia, Shuai-Xia Xu, Yu-Qiu Zhao
In this paper, we consider the monodromy and, in particularly, the isomonodromy sets of accessory parameters for the Heun class equations. We show that the Heun class equations can…
Gap probability of the circular unitary ensemble with a Fisher-Hartwig singularity and the coupled Painlevé V system
Shuai-Xia Xu, Yu-Qiu Zhao
We consider the circular unitary ensemble with a Fisher-Hartwig singularity of both jump type and root type at . A rescaling of the ensemble at the Fisher-Hartwig singularity…