Diffusive decay of the environment viewed by the particle

Paul de Buyer, Jean Christophe Mourrat

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number23
JournalElectronic Communications in Probability
Volume20
DOIs
StatePublished - Mar 6 2015

Keywords

  • Algebraic convergence to equilibrium
  • Functional inequalities
  • Homogenization
  • Random walks in random environments

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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