Open Access
2015 Diffusive decay of the environment viewed by the particle
Paul de Buyer, Jean-Christophe Mourrat
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Electron. Commun. Probab. 20: 1-12 (2015). DOI: 10.1214/ECP.v20-3998


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. "Diffusive decay of the environment viewed by the particle." Electron. Commun. Probab. 20 1 - 12, 2015.


Accepted: 6 March 2015; Published: 2015
First available in Project Euclid: 7 June 2016

zbMATH: 1321.60216
MathSciNet: MR3320411
Digital Object Identifier: 10.1214/ECP.v20-3998

Primary: 60K37
Secondary: 60J27 , 76M50

Keywords: Algebraic convergence to equilibrium , functional inequalities , Homogenization‎ , Random walks in random environments

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