Diffusive Decay of the Environment Viewed by the Particle

Paul de Buyer; Jean-Christophe Mourrat

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arXiv · 1412.6313

Diffusive Decay of the Environment Viewed by the Particle

Paul de Buyer·Jean-Christophe Mourrat

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Abstract

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.

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Paul de Buyer, Jean-Christophe Mourrat. 2014-12-19. Diffusive Decay of the Environment Viewed by the Particle. https://arxiv.org/abs/1412.6313

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