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arxiv: 1412.6313 · v2 · submitted 2014-12-19 · 🧮 math.PR

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Diffusive Decay of the Environment Viewed by the Particle

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keywords decaydiffusiveenvironmentparticlerandomviewedanalyticapproach
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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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