Simple random walk on the line in random environment
type: Item
instance of: scholarly article
title: Simple random walk on the line in random environment
zbMATH Open document ID: 0572.60070
DOI: 10.1007/BF00699104
author: P. Deheuvels
author: Pál Révész
publication date: 1986-01-01T00:00:00Z
review text: We obtain strong limiting bounds for the maximal excursion and for the maximum reached by a random walk in a random environment. Our results derive from a simple proof of Pólya's theorem for the recurrence of the random walk on the line. As applications, we obtain bounds for the number of visits of the random walk at the origin.
Mathematics Subject Classification ID: 60J10
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 60J55
zbMATH DE Number: 3913394
zbMATH Keywords: random walk in a random environment
zbMATH Keywords: transience
zbMATH Keywords: recurrence
zbMATH Keywords: local time
zbMATH Keywords: law of the iterated logarithm
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00699104
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published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 3913394