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Random Walks in Space Time Mixing Environments

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Abstract

We prove that random walks in random environments, that are exponentially mixing in space and time, are almost surely diffusive, in the sense that their scaling limit is given by the Wiener measure.

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Authors and Affiliations

  1. FYMA, UCL, B chemin du Cyclotron 2, 1348, Louvain-la-Neuve, Belgium

    Jean Bricmont

  2. Department of Mathematics, Helsinki University, P.O. Box 4, 00014, Helsinki, Finland

    Antti Kupiainen

Authors
  1. Jean Bricmont
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  2. Antti Kupiainen
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Corresponding author

Correspondence to Antti Kupiainen.

Additional information

J. Bricmont was partially supported by the Belgian IAP program P6/02.

A. Kupiainen was partially supported by the Academy of Finland.

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Bricmont, J., Kupiainen, A. Random Walks in Space Time Mixing Environments. J Stat Phys 134, 979–1004 (2009). https://doi.org/10.1007/s10955-009-9689-1

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  • DOI: https://doi.org/10.1007/s10955-009-9689-1

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