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Biased random walk on critical Galton–Watson trees conditioned to survive

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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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Official URL: http://dx.doi.org/10.1007/s00440-012-0462-z

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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:
DateEvent
October 2013Published
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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