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

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

2011-06-22

arxiv.org/abs/1106.4387v2

Mathematics

Probability

Minor errors corrected

Scientific paper

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.

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