15 September 2001 Sub-Gaussian estimates of heat kernels on infinite graphs
Alexander Grigor'yan, Andras Telcs
Duke Math. J. 109(3): 451-510 (15 September 2001). DOI: 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.

Citation

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Alexander Grigor'yan. Andras Telcs. "Sub-Gaussian estimates of heat kernels on infinite graphs." Duke Math. J. 109 (3) 451 - 510, 15 September 2001. https://doi.org/10.1215/S0012-7094-01-10932-0

Information

Published: 15 September 2001
First available in Project Euclid: 5 August 2004

zbMATH: 1010.35016
MathSciNet: MR1853353
Digital Object Identifier: 10.1215/S0012-7094-01-10932-0

Subjects:
Primary: 35K05
Secondary: 58J35 , 60G50 , 60J35 , 60J45

Rights: Copyright © 2001 Duke University Press

Vol.109 • No. 3 • 15 September 2001
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