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Einstein relation for biased random walk on Galton-Watson trees

Ben Arous, Gérard; Hu, Yueyun; Olla, Stefano; Zeitouni, Ofer (2013), Einstein relation for biased random walk on Galton-Watson trees, Annales de l'I.H.P. Probabilités et Statistiques, 49, 3, p. 698-721. http://dx.doi.org/10.1214/12-AIHP486

Type
Article accepté pour publication ou publié
Date
2013
Journal name
Annales de l'I.H.P. Probabilités et Statistiques
Volume
49
Number
3
Publisher
Gauthier-Villars
Pages
698-721
Publication identifier
Metadata
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Author(s)
Ben Arous, Gérard
Hu, Yueyun
Olla, Stefano cc
Zeitouni, Ofer
Abstract (EN)
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 arbitrary deep traps.
Subjects / Keywords
Einstein relation; Galton-Watson Trees; Linear Response