Sub-Gaussian estimates of heat kernels on infinite graphs

Alexander Grigor’yan, András Telcs

Type: Article

Publication Date: 2001-09-15

Citations: 107

DOI: https://doi.org/10.1215/s0012-7094-01-10932-0

Abstract

We prove that a two-sided sub-Gaussian estimate of the heat kernel on an infinite weighted graph takes place if and only if the volume growth of the graph is uniformly polynomial and the Green kernel admits a uniform polynomial decay.

Locations

Duke Mathematical Journal - View
Spiral (Imperial College London) - View - PDF

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