Croydon, David A., Fribergh, A. and Kumagai, T. (Takashi) (2013) Biased random walk on critical Galton–Watson trees conditioned to survive. Probability Theory and Related Fields, Volume 157 (Number 1-2). pp. 453-507. doi:10.1007/s00440-012-0462-z ISSN 0178-8051.

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Abstract

We consider the biased random walk on a critical Galton–Watson tree conditioned to survive, and confirm that this model with trapping belongs to the same universality class as certain one-dimensional trapping models with slowly-varying tails. Indeed, in each of these two settings, we establish closely-related functional limit theorems involving an extremal process and also demonstrate extremal aging occurs.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Statistics
Library of Congress Subject Headings (LCSH):	Random walks (Mathematics), Trees (Graph theory), Limit theorems (Probability theory)
Journal or Publication Title:	Probability Theory and Related Fields
Publisher:	Springer
ISSN:	0178-8051
Official Date:	October 2013
Dates:	Date Event October 2013 Published
Volume:	Volume 157
Number:	Number 1-2
Page Range:	pp. 453-507
DOI:	10.1007/s00440-012-0462-z
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	23 December 2015
Date of first compliant Open Access:	23 December 2015

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