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math.PR2026
Heat Kernel Estimates for Random Walks with Killing on Transient Graphs
Emily Dautenhahn, Anthony Graves-McCleary
We give matching two-sided estimates for heat kernels obtained from Schrödinger operators on weighted graphs. The graphs we consider are transient and admit two-sided sub-Gau…
math.PR2024
The Boundary Harnack Principle and the 3G Principle in Fractal-Type Spaces
Anthony Graves-McCleary, Laurent Saloff-Coste
We prove a generalized version of the Principle for Green's functions on bounded inner uniform domains in a wide class of Dirichlet spaces. In particular, our results apply to…