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Speed of the biased random walk on a Galton--Watson tree
Published 18 Nov 2011 in math.PR | (1111.4313v4)
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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