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.
|Number of pages||55|
|Journal||Probability Theory and Related Fields|
|Publication status||Published - 2013 Oct|
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty