The discrete integral maximum principle and its applications

Thierry Coulhon; Alexander Grigor'yan; Fabio Zucca

doi:10.2748/tmj/1140727073

The discrete integral maximum principle and its applications

Thierry Coulhon
, Alexander Grigor'yan
, Fabio Zucca

CY Cergy Paris Université
Imperial College London
Politecnico di Milano

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	559-587
Number of pages	29
Journal	Tohoku Mathematical Journal
Volume	57
Issue number	4
DOIs	https://doi.org/10.2748/tmj/1140727073
Publication status	Published - 1 Dec 2005
Externally published	Yes

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

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10.2748/tmj/1140727073

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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.",

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",

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AU - Zucca, Fabio

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AB - 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.

KW - Discrete integral maximum principle

KW - Random walks on graphs

KW - Random walks on percolation clusters

KW - Time-dependent random walks

KW - Upper and lower estimates for a discrete heat kernel

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DO - 10.2748/tmj/1140727073

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JO - Tohoku Mathematical Journal

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The discrete integral maximum principle and its applications

Abstract

Keywords

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