Harnack inequalities on weighted graphs and some applications to the random conductance model

Sebastian Andres; Jean-Dominique Deuschel; Martin Slowik

doi:10.1007/s00440-015-0623-y

Harnack inequalities on weighted graphs and some applications to the random conductance model

Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik

Probability

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

Abstract

We establish elliptic and parabolic Harnack inequalities on graphs with unbounded weights. As an application we prove a local limit theorem for a continuous time random walk X in an environment of ergodic random conductances taking values in (0,∞) satisfying some moment conditions.

Original language	English
Pages (from-to)	931-977
Number of pages	47
Journal	Probab. Theory Related Fields
Volume	164
Issue number	3-4
Early online date	25 Mar 2015
DOIs	https://doi.org/10.1007/s00440-015-0623-y
Publication status	Published - 2016

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title = "Harnack inequalities on weighted graphs and some applications to the random conductance model",

abstract = "We establish elliptic and parabolic Harnack inequalities on graphs with unbounded weights. As an application we prove a local limit theorem for a continuous time random walk X in an environment of ergodic random conductances taking values in (0,∞) satisfying some moment conditions.",

author = "Sebastian Andres and Jean-Dominique Deuschel and Martin Slowik",

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doi = "10.1007/s00440-015-0623-y",

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AU - Andres, Sebastian

AU - Deuschel, Jean-Dominique

AU - Slowik, Martin

PY - 2016

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N2 - We establish elliptic and parabolic Harnack inequalities on graphs with unbounded weights. As an application we prove a local limit theorem for a continuous time random walk X in an environment of ergodic random conductances taking values in (0,∞) satisfying some moment conditions.

AB - We establish elliptic and parabolic Harnack inequalities on graphs with unbounded weights. As an application we prove a local limit theorem for a continuous time random walk X in an environment of ergodic random conductances taking values in (0,∞) satisfying some moment conditions.

U2 - 10.1007/s00440-015-0623-y

DO - 10.1007/s00440-015-0623-y

M3 - Article

SN - 0178-8051

VL - 164

SP - 931

EP - 977

JO - Probab. Theory Related Fields

JF - Probab. Theory Related Fields

IS - 3-4

ER -

Harnack inequalities on weighted graphs and some applications to the random conductance model

Abstract

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