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

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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
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Probability Theory and Related Fields
Publisher:	Springer
ISSN:	0178-8051
Official Date:	April 2018
Dates:	Date Event April 2018 Published 8 March 2017 Available 21 February 2017 Accepted
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

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