Escape regimes of biased random walks on Galton-Watson trees

We study biased random walk on subcritical and supercritical Galton-Watson trees conditioned to survive in the transient, sub-ballistic regime. By considering offspring laws with infinite variance, we extend previously known results for the walk on the supercritical tree and observe new trapping phe...

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Bibliographische Detailangaben
Veröffentlicht in:Probability theory and related fields. - 1998. - 170(2018), 3 vom: 01., Seite 685-768
1. Verfasser: Bowditch, Adam (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2018
Zugriff auf das übergeordnete Werk:Probability theory and related fields
Schlagworte:Journal Article Galton–Watson tree Infinite variance Infinitely divisible distributions Random walk in random environment Sub-ballistic