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math.PR2025
An approach to sub-Gaussian heat kernel estimates via analysis on metric spaces
Riku Anttila
In this work, we establish a new characterization of sub-Gaussian heat kernel estimates for strongly local regular Dirichlet forms on metric measure spaces. Our formulation is base…
math.PR2025
Sub-Gaussian heat kernel estimates for reflected diffusion on inner uniform domains
Riku Anttila
We prove that sub-Gaussian heat kernel estimates are inherited from a diffusion process on the ambient space to the reflected diffusion process on a subset which is an inner unifor…