Zhen-Qing Chen

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math.PR2026

Heat kernel lower bound estimates for symmetric pure jump processes via averaged jump kernels

Zhen-Qing Chen, Jun Kigami

We derive a heat kernel lower bound estimate for symmetric pure jump processes on general volume doubling metric measure spaces with possible degenerate and/or singular jump kernel…

math.PR2026

High-order convergence rates of periodic homogenization for symmetric LÃ©vy type operators

Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1

In this paper, we establish higher-order convergence rates of the periodic homogenizatio for symmetric LÃ©vy-type operators, encompassing the subcritical $I^\pm$ -stable regime, critic…

math.PR2026

Quantitative Homogenization of PDEs with Neumann boundary conditions: a probabilistic approach

Zhen-Qing Chen, Jing Wu

In this paper, we study quantitative homogenization for viscosity solutions of multi-scale semilinear second order partial differential equations (PDEs) on convex domains with Neum…

math.PR2025

Dirichlet heat kernel estimates for rectilinear stable processes

Zhen-Qing Chen, Eryan Hu, Guohuan Zhao

Let $d \geq 2$ , $I^\pm \in (0, 2)$ , and $X$ be the rectilinear $I^\pm$ -stable process on $R^{d}$ . We first present a geometric characterization of an open subset $D\subset \mathbb{R…