Invariance Principle for symmetric Diffusions in a degenerate and unbounded stationary and ergodic Random Medium

Alberto Chiarini, Jean-Dominique Deuschel

We study a symmetric diffusion $X$ on ${\mathbb{R}}^d$ in divergence form in a stationary and ergodic environment, with measurable unbounded and degenerate coefficients $a^{\omega }$. The di…