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A quenched central limit theorem for biased random walks on supercritical Galton–Watson trees
Published online by Cambridge University Press: 26 July 2018
Abstract
In this paper we prove a quenched functional central limit theorem for a biased random walk on a supercritical Galton–Watson tree with leaves. This extends a result of Peres and Zeitouni (2008) where the case without leaves was considered. A conjecture of Ben Arous and Fribergh (2016) suggests an upper bound on the bias which we observe to be sharp.
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- Copyright © Applied Probability Trust 2018
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