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

David A. Croydon; Alexander Fribergh; Takashi Kumagai

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arXiv · 1203.4078

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

David A. Croydon·Alexander Fribergh·Takashi Kumagai

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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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David A. Croydon, Alexander Fribergh, Takashi Kumagai. 2012-03-19. Biased random walk on critical Galton-Watson trees conditioned to survive. https://arxiv.org/abs/1203.4078

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