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Escape regimes of biased random walks on Galton-Watson trees
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Bowditch, Adam (2018) Escape regimes of biased random walks on Galton-Watson trees. Probability Theory and Related Fields, 170 (3-4). pp. 685-768. doi:10.1007/s00440-017-0768-y ISSN 0178-8051.
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Official URL: https://doi.org/10.1007/s00440-017-0768-y
Abstract
We study biased random walk on subcritical and supercritical Galton-Watson trees conditioned to survive in the transient, sub-ballistic regime. By considering offspring laws with infinite variance, we extend previously known results for the walk on the supercritical tree and observe new trapping phenomena for the walk on the subcritical tree which, in this case, always yield sub-ballisticity. This is contrary to the walk on the supercritical tree which always has some ballistic phase.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Probability Theory and Related Fields | ||||||||
Publisher: | Springer | ||||||||
ISSN: | 0178-8051 | ||||||||
Official Date: | April 2018 | ||||||||
Dates: |
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Volume: | 170 | ||||||||
Number: | 3-4 | ||||||||
Page Range: | pp. 685-768 | ||||||||
DOI: | 10.1007/s00440-017-0768-y | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 2 March 2017 | ||||||||
Date of first compliant Open Access: | 3 August 2017 |
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