Harnack inequalities and difference estimates for random walks with infinite range
type: Item
instance of: scholarly article
title: Harnack inequalities and difference estimates for random walks with infinite range
zbMATH Open document ID: 0797.60056
DOI: 10.1007/BF01049175
author: Gregory F. Lawler
author: Thomas W. Polaski
published in: Journal of Theoretical Probability
publication date: 1994-10-10T00:00:00Z
review text: The authors study difference estimates and Harnack inequalities for aperiodic, mean zero finite variance random walks in \(\mathbb{Z}^ d\) with infinite range. An example is given showing that such estimates and inequalities do not necessarily hold for mean zero, finite variance random walks. Conditions on the transition function \(p\) of the walk are given ensuring that appropriate forms of difference estimates and Harnack-type inequalities hold. As a corollary, usual difference estimates and Harnack inequalities are obtained for aperiodic, mean zero, finite variance random walks with finite range.
reviewed by: Zoran Vondraček
Mathematics Subject Classification ID: 60G50
zbMATH DE Number: 563114
zbMATH Keywords: harmonic functions
zbMATH Keywords: difference estimates
zbMATH Keywords: Harnack inequalities
zbMATH Keywords: random walks
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01049175
OpenAlex ID: W2003268031
description: scientific article; zbMATH DE number 563114