[Comportement asymptotique de diffusions isotropes en milieu aléatoire.]
Nous présentons ici des résultats sur le comportement asymptotique de diffusions isotropes en milieu aléatoire, qui sont de petites perturbations du mouvement brownien. Lorsque la dimension de l'espace est trois ou plus nous prouvons un principe d'invariance et la transience de la diffusion. Nos méthodes s'appliquent aussi à des problèmes d'homogénéisation en milieu aléatoire.
We present here results concerning 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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@article{CRMATH_2004__339_6_429_0,
author = {Sznitman, Alain-Sol and Zeitouni, Ofer},
title = {On the diffusive behavior of isotropic diffusions in a random environment},
journal = {Comptes Rendus. Math\'ematique},
pages = {429--434},
publisher = {Elsevier},
volume = {339},
number = {6},
year = {2004},
doi = {10.1016/j.crma.2004.07.012},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2004.07.012/}
}
TY - JOUR AU - Sznitman, Alain-Sol AU - Zeitouni, Ofer TI - On the diffusive behavior of isotropic diffusions in a random environment JO - Comptes Rendus. Mathématique PY - 2004 SP - 429 EP - 434 VL - 339 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2004.07.012/ DO - 10.1016/j.crma.2004.07.012 LA - en ID - CRMATH_2004__339_6_429_0 ER -
%0 Journal Article %A Sznitman, Alain-Sol %A Zeitouni, Ofer %T On the diffusive behavior of isotropic diffusions in a random environment %J Comptes Rendus. Mathématique %D 2004 %P 429-434 %V 339 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2004.07.012/ %R 10.1016/j.crma.2004.07.012 %G en %F CRMATH_2004__339_6_429_0
Sznitman, Alain-Sol; Zeitouni, Ofer. On the diffusive behavior of isotropic diffusions in a random environment. Comptes Rendus. Mathématique, Tome 339 (2004) no. 6, pp. 429-434. doi : 10.1016/j.crma.2004.07.012. http://www.numdam.org/articles/10.1016/j.crma.2004.07.012/
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