Einstein relation for biased random walk on Galton--Watson trees
classification
🧮 math.PR
keywords
einsteinrandomrelationbiasedgalton--watsontreesarbitrarycertain
read the original 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.
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