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arXiv:1106.4387 [math.PR]AbstractReferencesReviewsResources

Einstein relation for biased random walk on Galton--Watson trees

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

Published 2011-06-22, updated 2011-12-22Version 2

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.

Comments: Minor errors corrected
Categories: math.PR
Subjects: 60K37, 60J80
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