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Sub-Gaussian estimates of heat kernels on infinite graphs

Alexander Grigor'yan, Andras Telcs

Source record

Source: Crossref

Published: Sep 15, 2001

DOI: 10.1215/s0012-7094-01-10932-0

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Source 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.

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Sub-Gaussian estimates of heat kernels on infinite graphs — Mathematical Frontier Network