Biased random walk on critical Galton-Watson trees conditioned to survive

D. A. Croydon; A. Fribergh; T. Kumagai

doi:10.1007/s00440-012-0462-z

Biased random walk on critical Galton-Watson trees conditioned to survive

D. A. Croydon, A. Fribergh, T. Kumagai

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	453-507
Number of pages	55
Journal	Probability Theory and Related Fields
Volume	157
Issue number	1-2
DOIs	https://doi.org/10.1007/s00440-012-0462-z
Publication status	Published - 2013 Oct
Externally published	Yes

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/s00440-012-0462-z

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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.",

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AU - Fribergh, A.

AU - Kumagai, T.

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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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ER -

Biased random walk on critical Galton-Watson trees conditioned to survive

Abstract

ASJC Scopus subject areas

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