Critical Random Walk in Random Environment on Trees of Exponential Growth

Details Critical Random Walk in Random Environment on Trees of Exponential Growth Critical Random Walk in Random Environment on Trees of Exponential Growth

2004-04-02

arxiv.org/abs/math/0404049v1

Proc. Sem. Stoch. Pro. 1992, Burdzy and Bass, editors, 221 - 240 (1993)

Mathematics

Probability

19 pages

Scientific paper

This paper studies the behavior of RWRE on trees in the critical case left
open in previous work. For trees of exponential growth, a random perturbation
of the transition probabilities can change a transient random walk into a
recurrent one. This is the opposite of what occurs on trees of sub-exponential
growth.

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