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

Zhen-Qing Chen; Jun Kigami

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arXiv · 2606.31287

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

Zhen-Qing Chen·Jun Kigami

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Abstract

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 kernels using averaged jump kernels. As an application, the main result of this paper is applied to derive a lower bound estimate for the transition density function of the trace of Brownian motions on Sierpinski gaskets on the bottom of the Sierpinski gasket.

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Zhen-Qing Chen, Jun Kigami. 2026-06-30. Heat kernel lower bound estimates for symmetric pure jump processes via averaged jump kernels. https://arxiv.org/abs/2606.31287

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