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

2011/11/18 by Aidekon, Elie
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1111.4313

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 \citeLyPePe95. The proof uses a description of the invariant distribution of the environment seen from the particle.

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