Gaussian fluctuations for random walks in random mixing environments

  title={Gaussian fluctuations for random walks in random mixing environments},
  author={Francis Comets and Ofer Zeitouni},
We consider a class of ballistic, multidimensional random walks in random environments where the environment satisfies appropriate mixing conditions. Continuing our previous work [2] for the law of large numbers, we prove here that the fluctuations are gaussian when the environment is Gibbsian satisfying the “strong mixing condition” of Dobrushin and Shlosman and the mixing rate is large enough to balance moments of some random times depending on the path. Under appropriate assumptions the CLT… CONTINUE READING

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