Gaussian lower bounds for random walks from elliptic regularity

Pascal Auscher; Thierry Coulhon

doi:10.1016/S0246-0203(99)00109-0

Gaussian lower bounds for random walks from elliptic regularity

Pascal Auscher
, Thierry Coulhon

Université de Picardie Jules Verne
CY Cergy Paris Université

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

Résumé

We give a direct approach to off-diagonal lower bounds for reversible Markov chains on infinite graphs with regular volume growth and Poincaré inequalities, by using ideas that go back to De Giorgi and Morrey.

langue originale	Anglais
Pages (de - à)	605-630
Nombre de pages	26
journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	35
Numéro de publication	5
Les DOIs	https://doi.org/10.1016/S0246-0203(99)00109-0
état	Publié - 1 janv. 1999
Modification externe	Oui

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10.1016/S0246-0203(99)00109-0

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title = "Gaussian lower bounds for random walks from elliptic regularity",

abstract = "We give a direct approach to off-diagonal lower bounds for reversible Markov chains on infinite graphs with regular volume growth and Poincar{\'e} inequalities, by using ideas that go back to De Giorgi and Morrey.",

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AU - Coulhon, Thierry

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DO - 10.1016/S0246-0203(99)00109-0

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JO - Annales de l'institut Henri Poincare (B) Probability and Statistics

JF - Annales de l'institut Henri Poincare (B) Probability and Statistics

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Gaussian lower bounds for random walks from elliptic regularity

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