2 papers
math-ph2024
On the Fredholm determinant of the confluent hypergeometric kernel with discontinuities
Shuai-Xia Xu, Shu-Quan Zhao, Yu-Qiu Zhao
We consider the determinantal point process with the confluent hypergeometric kernel. This process is a universal point process in random matrix theory and describes the distributi…
math.AP2023
Quantitative stability of a nonlocal Sobolev inequality
Paolo Piccione, Minbo Yang, Shuneng Zhao
In this paper, we study the quantitative stability of the nonlocal Soblev inequality \begin{equation*} S_{HL}\left(\int_{\mathbb{R}^N}\big(|x|^{-μ} \ast |u|^{2_μ^{\ast}}\big)|u|^{2…