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arXiv · 1404.5274

On The Existence of an Invariant Measure for Isotropic Diffusions in Random Environment

Benjamin J. Fehrman
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Abstract

The results of this paper build upon those first obtained by Sznitman and Zeitouni in [11]. We establish, for spacial dimensions greater than two, the existence of a unique invariant measure for isotropic diffusions in random environment which are small perturbations of Brownian motion. Furthermore, we establish a general homogenization result for initial data which are locally measurable with respect to the coefficients.

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Benjamin J. Fehrman. 2014-04-21. On The Existence of an Invariant Measure for Isotropic Diffusions in Random Environment. https://arxiv.org/abs/1404.5274

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