Critical Random Walk in Random Environment on Trees of Exponential Growth

By Robin Pemantle. 2004

48 citations recorded by the source corpus.

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.

View Paper: https://www.semanticscholar.org/paper/b5c4b8ea0d399a314dc9101274e5f938d56922f7

Citations in the corpus

• Probability on Trees and Networks (2017, background): “For further probabilistic applications of packing dimension, see Khoshnevisan, Peres, and Xiao (2000). Let T be a tree without leaves.”