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December 2005 The discrete integral maximum principle and its applications
Thierry Coulhon, Alexander Grigor'yan, Fabio Zucca
Tohoku Math. J. (2) 57(4): 559-587 (December 2005). DOI: 10.2748/tmj/1140727073

Abstract

We prove an integral maximum principle for random walks on graphs, and give several applications to pointwise estimates of their transition probabilities, including the time-dependent case.

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Thierry Coulhon. Alexander Grigor'yan. Fabio Zucca. "The discrete integral maximum principle and its applications." Tohoku Math. J. (2) 57 (4) 559 - 587, December 2005. https://doi.org/10.2748/tmj/1140727073

Information

Published: December 2005
First available in Project Euclid: 23 February 2006

zbMATH: 1096.60023
MathSciNet: MR2203547
Digital Object Identifier: 10.2748/tmj/1140727073

Subjects:
Primary: 60J15
Secondary: 35B50 , 39A12

Keywords: Discrete integral maximum principle , random walks on graphs , random walks on percolation clusters , time-dependent random walks , upper and lower estimates for a discrete heat kernel

Rights: Copyright © 2005 Tohoku University

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Vol.57 • No. 4 • December 2005
Tohoku University, Mathematical Institute
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