Einstein relation for biased random walk on Galton-Watson trees

Gerard Ben Arous; Yueyun Hu; Stefano Olla; Ofer Zeitouni

doi:10.1214/12-AIHP486

Einstein relation for biased random walk on Galton-Watson trees

Gerard Ben Arous, Yueyun Hu, Stefano Olla, Ofer Zeitouni

Mathematics

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

Abstract

We prove the Einstein relation, relating the velocity under a small perturbation to the diffusivity in equilibrium, for certain biased random walks on Galton-Watson trees. This provides the first example where the Einstein relation is proved for motion in random media with arbitrarily slow traps.

Original language	English (US)
Pages (from-to)	698-721
Number of pages	24
Journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	49
Issue number	3
DOIs	https://doi.org/10.1214/12-AIHP486
State	Published - Aug 2013

Keywords

Einstein relation
Galton-Watson tree
Spine representation

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/12-AIHP486

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abstract = "We prove the Einstein relation, relating the velocity under a small perturbation to the diffusivity in equilibrium, for certain biased random walks on Galton-Watson trees. This provides the first example where the Einstein relation is proved for motion in random media with arbitrarily slow traps.",

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Einstein relation for biased random walk on Galton-Watson trees

Abstract

Keywords

ASJC Scopus subject areas

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