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- Title
Biased random walk on critical Galton–Watson trees conditioned to survive.
- Authors
Croydon, D. A.; Fribergh, A.; Kumagai, T.
- 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.
- Subjects
RANDOM walks; MATHEMATICAL models; DIMENSIONAL analysis; MATHEMATICS theorems; LIMIT theorems; DISCRETE probability theory; INVESTMENT analysis
- Publication
Probability Theory & Related Fields, 2013, Vol 157, Issue 1/2, p453
- ISSN
0178-8051
- Publication type
Article
- DOI
10.1007/s00440-012-0462-z