Gaussian fluctuations for random walks in random mixing environments

@inproceedings{Comets2004GaussianFF,
  title={Gaussian fluctuations for random walks in random mixing environments},
  author={Francis Comets and Ofer Zeitouni},
  year={2004}
}
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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References

Publications referenced by this paper.
Showing 1-10 of 15 references

Zeitouni: A law of large numbers for random walks in random mixing environments

O. F. Comets
To appear in Annals Probab • 2003
View 10 Excerpts
Highly Influenced

The law of large numbers for ballistic, multi-dimensional random walks on random lattices with correlated sites, to appear

T. Komorowski, G. Krupa
Annales Inst. H. Poincaré - Prob. and Statistics • 2003
View 1 Excerpt

An effective criterion for ballistic behavior of random walks in random environment, Probab

A. S. Sznitman
Theory Relat. Fields • 2002
View 1 Excerpt

Asymptotic properties of certain anisotropic walks in random media

L. Shen
Annals of Applied Probability • 2002
View 1 Excerpt

Random walk in a random environement with correlated sites

T. Komorowski, G. Krupa
J. Appl. Prob • 2001
View 1 Excerpt

Convergence of Probability Measures, second edition

P. Billingsley
1999

Lectures on Glauber dynamics for discrete spin systems, Lecture

F. Martinelli
Notes in Mathematics • 1999
View 1 Excerpt

Zerner, A law of large numbers for random walks in random environment

M.A.S. Sznitman
Annals Probab • 1999
View 1 Excerpt

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