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We study a symmetric diffusion $X$ on $\mathbb{R}^d$ in divergence form in astationary and ergodic environment, with measurable unbounded and degeneratecoefficients $a^\omega$. The diffusion is formally associated with $L^\omega u= \nabla\cdot(a^\omega\nabla u)$, and we make sense of it through Dirichletforms theory. We prove for $X$ a quenched invariance principle, under somemoment conditions on the environment; the key tool is the sublinearity of thecorrector obtained by Moser's iteration scheme.

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