Many visits to a single site by a transient random walk in random environment.
type: Item
instance of: scholarly article
title: Many visits to a single site by a transient random walk in random environment.
zbMATH Open document ID: 1059.60100
DOI: 10.1016/S0304-4149(02)00089-3
author: Nina Gantert
author: Zhan Shi
published in: Stochastic Processes and their Applications
publication date: 2005-02-25T00:00:00Z
review text: The authors consider a transient random walk on \(Z\) in random environments and study the almost sure asymptotics of the supremum of its local time. The main result states that if the random walk has zero speed, there is a random sequence of sites and a random sequence of times such that the walk spends a positive fraction of the times at these sites. The method of proof relies on the connection of random walk in random environment with branching processes in random environment used by \textit{H.\ Kesten, M. V. Kozlov} and \textit{F. Spitzer} [Compos. Math. 30, 145--168 (1975; Zbl 0388.60069)].
Mathematics Subject Classification ID: 60K37
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 60J55
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 2138967
zbMATH Keywords: random walk in random environment
zbMATH Keywords: local time
zbMATH Keywords: branching process in random environment
reviewed by: Ivan Křivý
MaRDI profile type: Publication
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full work available at URL: s0304-4149(02)00089-3
OpenAlex ID: W1997675703
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description: scientific article; zbMATH DE number 2138967