Xianming Liu

collaborators

2 papers

math.PR2026

The Non-Gaussian to Gaussian Transition: Pointwise Heat Kernel Estimates and Optimal Convergence Rates

Xianming Liu, Chongyang Ren, Mingyan Wu

We establish uniform pointwise estimates for the densities of a family of $I^\pm$ -stable processes with respect to the index $I^\pm \in [I^\pm_{0}, 2]$ for some $I^\pm_{0} > 0$ . In addition, we estima…

math.DS2025

Synchronization by degenerate noise

Xianming Liu, Xu Sun

In this paper, we derive several criteria for (weak) synchronization by noise without the global swift transitivity property. Our sufficient conditions for (weak) synchronization a…