Einstein relation for biased random walk on Galton--Watson trees
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 arbitrary deep traps.
Domains
Probability [math.PR]
Origin : Files produced by the author(s)