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arXiv · 1111.4313

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

Elie Aidekon
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Abstract

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.

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Elie Aidekon. 2011-11-18. Speed of the biased random walk on a Galton--Watson tree. https://arxiv.org/abs/1111.4313

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