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

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

Abstract

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.

Original language	English
Pages (from-to)	605-630
Number of pages	26
Journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	35
Issue number	5
DOIs	https://doi.org/10.1016/S0246-0203(99)00109-0
Publication status	Published - 1 Jan 1999
Externally published	Yes

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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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AB - 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.

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SN - 0246-0203

VL - 35

SP - 605

EP - 630

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

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

IS - 5

ER -

Gaussian lower bounds for random walks from elliptic regularity

Abstract

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