Diffusive decay of the environment viewed by the particle

Paul de Buyer; Jean Christophe Mourrat

doi:10.1214/ECP.v20-3998

Diffusive decay of the environment viewed by the particle

Paul de Buyer, Jean Christophe Mourrat

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Article number	23
Journal	Electronic Communications in Probability
Volume	20
DOIs	https://doi.org/10.1214/ECP.v20-3998
State	Published - 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

Access to Document

10.1214/ECP.v20-3998

Cite this

@article{5323a90da3064074927aeaa9f838e37d,

title = "Diffusive decay of the environment viewed by the particle",

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.",

keywords = "Algebraic convergence to equilibrium, Functional inequalities, Homogenization, Random walks in random environments",

author = "{de Buyer}, Paul and Mourrat, {Jean Christophe}",

year = "2015",

month = mar,

day = "6",

doi = "10.1214/ECP.v20-3998",

language = "English (US)",

volume = "20",

journal = "Electronic Communications in Probability",

issn = "1083-589X",

publisher = "Institute of Mathematical Statistics",

}

TY - JOUR

T1 - Diffusive decay of the environment viewed by the particle

AU - de Buyer, Paul

AU - Mourrat, Jean Christophe

PY - 2015/3/6

Y1 - 2015/3/6

N2 - 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.

AB - 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.

KW - Algebraic convergence to equilibrium

KW - Functional inequalities

KW - Homogenization

KW - Random walks in random environments

UR - http://www.scopus.com/inward/record.url?scp=84924287388&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84924287388&partnerID=8YFLogxK

U2 - 10.1214/ECP.v20-3998

DO - 10.1214/ECP.v20-3998

M3 - Article

AN - SCOPUS:84924287388

SN - 1083-589X

VL - 20

JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

M1 - 23

ER -

Diffusive decay of the environment viewed by the particle

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this