Biased random walk on critical Galton–Watson trees conditioned to survive
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.
- Biased random walk on critical Galton–Watson trees conditioned to survive
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Probability Theory and Related Fields
Volume 157, Issue 1-2 , pp 453-507
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- Springer Berlin Heidelberg
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- Primary 60K37
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