A Quenched Invariance Principle for Certain Ballistic Random Walks in i.i.d. Environments

Noam Berger, Ofer Zeitouni

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

20 Scopus citations

Abstract

We prove that every random walk in i.i.d. environment in dimension greater than or equal to 2 that has an almost sure positive speed in a certain direction, an annealed invariance principle and some mild integrability condition for regeneration times also satisfies a quenched invariance principle. The argument is based on intersection estimates and a theorem of Bolthausen and Sznitman.

Original languageEnglish
Title of host publicationProgress in Probability
PublisherBirkhauser
Pages137-160
Number of pages24
DOIs
StatePublished - 2008
Externally publishedYes

Publication series

NameProgress in Probability
Volume60
ISSN (Print)1050-6977
ISSN (Electronic)2297-0428

Keywords

  • Random walk in random environment
  • quenched invariance principle

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