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Slowdown and neutral pockets for a random walk in random environment
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  • Published: October 1999

Slowdown and neutral pockets for a random walk in random environment

  • Alain-Sol Sznitman1 

Probability Theory and Related Fields volume 115, pages 287–323 (1999)Cite this article

Abstract.

We consider a d-dimensional random walk in random environment for which transition probabilities at each site are either neutral or present an effective drift “pointing to the right”. We obtain large deviation estimates on the probability that the walk moves in a too slow ballistic fashion, both under the annealed and quenched measures. These estimates underline the key role of large neutral pockets of the medium in the occurrence of slowdowns of the walk.

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Authors and Affiliations

  1. Departement Mathematik, ETH-Zentrum, CH-8092 Zürich, Switzerland e-mail: sznitman@math.ethz.ch, , , , , , CH

    Alain-Sol Sznitman

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  1. Alain-Sol Sznitman
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Received: 12 March 1998 / Revised version: 19 February 1999

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Sznitman, AS. Slowdown and neutral pockets for a random walk in random environment. Probab Theory Relat Fields 115, 287–323 (1999). https://doi.org/10.1007/s004400050239

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  • Issue Date: October 1999

  • DOI: https://doi.org/10.1007/s004400050239

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  • Mathematics Subject Classification (1991): 60K40, 82D30
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