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An invariance principle for isotropic diffusions in random environment |
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| Authors: | Alain-Sol Sznitman Ofer Zeitouni |
| Affiliation: | (1) Departement Mathematik, ETH-Zentrum, 8092 Zürich, Switzerland;(2) Department of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church St. S.E., Minneapolis, MN 55455, USA;(3) Departments of Electrical Engineering and of Mathematics, Technion, Israel Institute of Technology, Haifa, 32000, Israel |
| Abstract: | 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. |
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