Eryan Hu

collaborators

2 papers

math.PR2025

Non-local operators with low singularity kernels: regularity estimates and martingale problem

Eryan Hu, Guohuan Zhao

We consider the linear non-local operator $L$ denoted by \[ \mathcal{L} u (x) = \int_{\mathbb{R}^d} \left(u(x+z)-u(x)\right) a(x,z)J(z)\,d z. \] Here $a (x, z)$ is bounded…

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…