Random Walks in Space Time Mixing Environments

Bricmont, Jean;Kupiainen, Antti
(2009) Journal of Statistical Physics — Vol. 134, n° 5-6, p. 979-1004 (2009)

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Authors
  • Bricmont, JeanUCLouvain
    Author
  • Kupiainen, AnttiUCLouvain
    Author
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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Citations

Bricmont, J., & Kupiainen, A. (2009). Random Walks in Space Time Mixing Environments. Journal of Statistical Physics, 134(5-6), 979-1004. https://doi.org/10.1007/s10955-009-9689-1 (Original work published 2009)