Biased random walk on critical Galton–Watson trees conditioned to survive
DA Croydon, A Fribergh, T Kumagai - Probability Theory and Related …, 2013 - Springer
DA Croydon, A Fribergh, T Kumagai
Probability Theory and Related Fields, 2013•SpringerWe 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.
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.
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.
Springer
以上显示的是最相近的搜索结果。 查看全部搜索结果