Biased random walk on critical Galton–Watson trees conditioned to survive |
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Authors: | D A Croydon A Fribergh T Kumagai |
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Institution: | 1. Department of Statistics, University of Warwick, Coventry, CV4 7AL, UK 2. CIMS, New York University, 251 Mercer Street, New York, 10012-1185, USA 3. RIMS, Kyoto University, Kyoto, 606-8502, Japan
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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. |
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