# 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} }

- Published 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

#### From This Paper

##### Figures, tables, and topics from this paper.

#### Citations

##### Publications citing this paper.

Showing 1-8 of 8 extracted citations

## Transient random walk in symmetric exclusion : limit theorems and an Einstein relation

View 6 Excerpts

Highly Influenced

## Asymptotic Direction for Random Walks in Random

View 1 Excerpt

## Random Walk in Markovian Enviroment

View 1 Excerpt

#### 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

View 10 Excerpts

Highly Influenced

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

View 1 Excerpt

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

View 1 Excerpt

## Asymptotic properties of certain anisotropic walks in random media

View 1 Excerpt

## Random walk in a random environement with correlated sites

View 1 Excerpt

## Convergence of Probability Measures, second edition

## Lectures on Glauber dynamics for discrete spin systems, Lecture

View 1 Excerpt

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

View 1 Excerpt