We study a symmetric diffusion X on ℝd in divergence form in a stationary and ergodic environment, with measurable unbounded and degenerate coefficients aω. The diffusion is formally associated with Lωu = ∇ ?(aωu), and we make sense of it through Dirichlet forms theory. We prove for X a quenched invariance principle, under some moment conditions on the environment; the key tool is the sublinearity of the corrector obtained by Moser's iteration scheme.
Invariance principle for symmetric diffusions in a degenerate and unbounded stationary and ergodic random medium
Chiarini A.;
2016
Abstract
We study a symmetric diffusion X on ℝd in divergence form in a stationary and ergodic environment, with measurable unbounded and degenerate coefficients aω. The diffusion is formally associated with Lωu = ∇ ?(aωu), and we make sense of it through Dirichlet forms theory. We prove for X a quenched invariance principle, under some moment conditions on the environment; the key tool is the sublinearity of the corrector obtained by Moser's iteration scheme.File in questo prodotto:
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