Perturbing transient Random Walk in a Random Environment with cookies of maximal strength

Details Perturbing transient Random Walk in a Random Environment with cookies of maximal strength Perturbing transient Random Walk in a Random Environment with cookies of maximal strength

2011-10-27

arxiv.org/abs/1110.6116v1

Mathematics

Probability

Scientific paper

We consider a left-transient random walk in a random environment on Z that will be disturbed by cookies inducing a drift to the right of strength 1. The number of cookies per site is i.i.d. and independent of the environment. Criteria for recurrence and transience of the random walk are obtained. For this purpose we use subcritical branching processes in random environments with immigration and formulate criteria for recurrence and transience for these processes.

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