The problem of the most visited site in random environment
type: Item
instance of: scholarly article
title: The problem of the most visited site in random environment
zbMATH Open document ID: 0954.60040
DOI: 10.1007/PL00008730
author: Zhan Shi
author: Yueyun Hu
publication date: 2001-01-25T00:00:00Z
review text: For the definition of a random walk in random environment (RWRE) see e. g. the book of \textit{P. Révész} [``Random walk in random and non-random environments'' (1990; Zbl 0733.60091)]. The authors prove that the most visited site of Sinai's simple random walk in random environment is transient. The method also applies to a class of recurrent diffusion processes with random potentials. For related papers see: \textit{M. Csörgő}, \textit{L. Horváth} and \textit{P. Révész} [Stochastic Processes Appl. 25, 185-202 (1987; Zbl 0634.60062)]; the authors and \textit{M. Yor} [Trans. Am. Math. Soc. 351, No.~10, 3915-3934 (1999; Zbl 0932.60083)]; and \textit{H. Kesten} [Physica A 138, 299-309 (1986; Zbl 0666.60065)].
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 60J55
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 1439657
zbMATH Keywords: favourite site
zbMATH Keywords: local time
zbMATH Keywords: rate of escape
zbMATH Keywords: diffusion with random potential
reviewed by: Gheorghe Oprişan
MaRDI profile type: Publication
full work available at URL: pl00008730
OpenAlex ID: W1997092003
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 1439657