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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
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WRAP_Croydon_art%3A10.1007%2Fs00440-012-0462-z.pdf - Published Version Available under License Creative Commons Attribution. Download (743Kb) | Preview |
Official URL: http://dx.doi.org/10.1007/s00440-012-0462-z
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 | ||||
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| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of 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: |
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| 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 |
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