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math.PR2023
Heat kernel estimates on local and non-local Dirichlet spaces satisfying a weak chain condition
Guanhua Liu
In this paper, we focus on the heat kernel estimates for diffusions and jump processes on metric measure spaces satisfying a weak chain condition, where the length of a nearly shor…
math.PR2021
On the comparison between jump processes and subordinated diffusions
Guanhua Liu, Mathav Murugan
Given a symmetric diffusion process and a jump process on the same underlying space, is there a subordinator such that the jump process and the subordinated diffusion processes are…
math.PR2020★ 3 cited
Parabolic Harnack inequality implies the existence of jump kernel
Guanhua Liu, Mathav Murugan
We prove that the parabolic Harnack inequality implies the existence of jump kernel for symmetric pure jump process. This allows us to remove a technical assumption on the jumping…