Mathematics – Probability
Scientific paper
2012-03-19
Mathematics
Probability
Scientific paper
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.
Croydon David A.
Fribergh Alexander
Kumagai Takashi
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