An effective criterion for ballistic behavior of random walks in random environment
type: Item
instance of: scholarly article
title: An effective criterion for ballistic behavior of random walks in random environment
zbMATH Open document ID: 0995.60097
author: Alain-Sol Sznitman
publication date: 2002-07-29T00:00:00Z
review text: We investigate multi-dimensional random walks in random environment. Specifically, we provide an effective criterion which can be checked by inspection of the environment in a finite box, and implies a ballistic strong law of large numbers, a central limit theorem and several large deviation controls. With the help of this criterion, we provide an example of a ballistic multi-dimensional walk which does not fulfill the criterion introduced by \textit{S. A. Kalikow} [Ann. Stat. 9, 753-768 (1981; Zbl 0545.60065)]. The present work complements the results of the author [ibid. 29, No. 2, 724-765 (2001)], where a certain condition (T) was introduced, and confirms the interest of this condition.
Mathematics Subject Classification ID: 60K37
Mathematics Subject Classification ID: 82D30
zbMATH DE Number: 1773397
zbMATH Keywords: ballistic strong law of large numbers
zbMATH Keywords: central limit theorem
zbMATH Keywords: large deviation controls
zbMATH Keywords: ballistic multi-dimensional walk
MaRDI profile type: Publication
full work available at URL: s004400100177
OpenAlex ID: W2013626033
DOI: 10.1007/S004400100177
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 1773397