Recurrence and Transience for Branching Random Walks in an iid Random Environment
Probability
2008-11-12 v1
Abstract
We give three different criteria for transience of a Branching Markov Chain. These conditions enable us to give a classification of Branching Random Walks in Random Environment (BRWRE) on Cayley Graphs in recurrence and transience. This classification is stated explicitly for BRWRE on Furthermore, we emphasize the interplay between Branching Markov Chains and the spectral radius. We prove properties of the spectral radius of the Random Walk in Random Environment with the help of appropriate Branching Markov Chains.
Keywords
Cite
@article{arxiv.math/0606055,
title = {Recurrence and Transience for Branching Random Walks in an iid Random Environment},
author = {Sebastian Müller},
journal= {arXiv preprint arXiv:math/0606055},
year = {2008}
}