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

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

2011-11-18

arxiv.org/abs/1111.4313v3

Mathematics

Probability

reference added

Scientific paper

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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