arXiv:1111.4313 Abstract | arXiv Analytics

arXiv:1111.4313 [math.PR]Abstract References Reviews Resources

Speed of the biased random walk on a Galton--Watson tree

Published 2011-11-18, updated 2013-01-18Version 4

We give an expression of the speed of the biased random walk on a Galton--Watson tree. In the particular case of the simple random walk, we recover the result of Lyons, Pemantle and Peres \cite{LyPePe95}. The proof uses a description of the invariant distribution of the environment seen from the particle.

Comments: reference added; Statement of Theorem 4.1 changed

Categories: math.PR

Keywords: biased random walk, galton-watson tree, simple random walk, invariant distribution, description

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