TY - JOUR
T1 - Biased random walk on critical Galton-Watson trees conditioned to survive
AU - Croydon, D. A.
AU - Fribergh, A.
AU - Kumagai, T.
PY - 2013/10
Y1 - 2013/10
N2 - 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.
AB - 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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U2 - 10.1007/s00440-012-0462-z
DO - 10.1007/s00440-012-0462-z
M3 - Article
AN - SCOPUS:84884207493
VL - 157
SP - 453
EP - 507
JO - Probability Theory and Related Fields
JF - Probability Theory and Related Fields
SN - 0178-8051
IS - 1-2
ER -