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A quenched central limit theorem for biased random walks on supercritical Galton-Watson trees

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Bowditch, Adam (2018) A quenched central limit theorem for biased random walks on supercritical Galton-Watson trees. Journal of Applied Probability, 55 (2). pp. 610-626. doi:10.1017/jpr.2018.38

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Official URL: https://doi.org/10.1017/jpr.2018.38

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Abstract

In this note, 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 is considered. A conjecture of Ben Arous and Fribergh (2016) suggests an upper bound on the bias which we observe to be sharp.

Item Type: Journal Article
Divisions: Faculty of Science > Statistics
Journal or Publication Title: Journal of Applied Probability
Publisher: Applied Probability Trust
ISSN: 0021-9002
Official Date: June 2018
Dates:
DateEvent
June 2018Published
26 July 2018Available
15 March 2018Accepted
Volume: 55
Number: 2
Page Range: pp. 610-626
DOI: 10.1017/jpr.2018.38
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Copyright Holders: Cambridge University Press
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