Paul de Buyer, Jean-Christophe Mourrat
Published 2014-12-19Version 1
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.
Random Walk in deterministically changing environment
Variance decay for functionals of the environment viewed by the particle
Upper tails of self-intersection local times of random walks: survey of proof techniques
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