On the existence of an invariant measure for isotropic diffusions in random environment
On the existence of an invariant measure for isotropic diffusions in random environment
The results of this paper build upon those first obtained by Sznitman and Zeitouni (Invent Math 164(3), 455–567, 2006). We establish, for spacial dimensions $$d\ge 3$$ , the existence of a unique invariant measure for isotropic diffusions in random environment on $$\mathbb {R}^d$$ which are small perturbations of Brownian motion. …