An invariance principle for isotropic diffusions in random environment

Sznitman, Alain-Sol ; Zeitouni, Ofer

In: Inventiones mathematicae, 2006, vol. 164, no. 3, p. 455-567

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    Summary
    We investigate in this work the asymptotic behavior of isotropic diffusions in random environment that are small perturbations of Brownian motion. When the space dimension is three or more, we prove an invariance principle as well as transience. Our methods also apply to questions of homogenization in random media