Speed Function for Biased Random Walks with Traps

2022/09/01 by Volker Betz, Matthias Meiners, Betz, Volker +3
Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Markov Chains and Monte Carlo Methods

paper · pdf · doi:10.48550/arxiv.2209.00241

Abstract

We consider a biased nearest-neighbor random walk on \Z which at each step is trapped for some random time with random, site-dependent mean. We derive a simple formula for the speed function in terms of the model parameters.

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