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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
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: |
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| Date of first compliant deposit: | 20 March 2018 | ||||||||
| 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 | ||||||||
| Related URLs: | |||||||||
| Open Access Version: |
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