3 papers
math-ph2025
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…
math-ph2025
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…
math-ph2025
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…