Diffusive Decay of the Environment viewed by the particle

Paul de Buyer (1) , Jean-Christophe Mourrat (2)

1 UPN - Université Paris Nanterre
2 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

We prove an optimal diffusive decay of the environment viewed by the particle in random walk among random independent conductances, with, as a main assumption, finite second moment of the conductance. Our proof, using the analytic approach of Gloria, Neukamm and Otto, is very short and elementary.

Domaines: Probabilités [math.PR]

Paul de Buyer, Jean-Christophe Mourrat. Diffusive Decay of the Environment viewed by the particle. Electronic Communications in Probability, 2015. ⟨hal-01706597⟩