Velocity estimates for symmetric random walks at low ballistic disorder

2017/01/23 by Laurent, Clément, Ramírez, Alejandro F., Sabot, Christophe +1
#60K37 #82C41 #82D30 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.1701.06308

Abstract

We derive asymptotic estimates for the velocity of random walks in random environments which are perturbations of the simple symmetric random walk but have a small local drift in a given direction. Our estimates complement previous results presented by Sznitman and are in the spirit of expansions obtained by Sabot.

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