Harmonic measure for biased random walk in a supercritical Galton-Watson tree

2017/07/06 by Lin, Shen
#60J15 #60J80 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1707.01811

Abstract

We consider random walks λ-biased towards the root on a Galton-Watson tree, whose offspring distribution (p_k)_{k≥ 1} is non-degenerate and has finite mean m>1. In the transient regime 0

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