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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

40 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	559-587
Nombre de pages	29
journal	Tohoku Mathematical Journal
Volume	57
Numéro de publication	4
Les DOIs	https://doi.org/10.2748/tmj/1140727073
état	Publié - 1 déc. 2005
Modification externe	Oui

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10.2748/tmj/1140727073

Contient cette citation

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title = "The discrete integral maximum principle and its applications",

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",

author = "Thierry Coulhon and Alexander Grigor'yan and Fabio Zucca",

year = "2005",

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AU - Coulhon, Thierry

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AU - Zucca, Fabio

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N2 - 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.

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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VL - 57

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EP - 587

JO - Tohoku Mathematical Journal

JF - Tohoku Mathematical Journal

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The discrete integral maximum principle and its applications

Résumé

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