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...

Description complète

Détails bibliographiques
Publié dans:Probability theory and related fields. - 1998. - 170(2018), 3 vom: 01., Seite 685-768
Auteur principal: Bowditch, Adam (Auteur)
Format: Article en ligne
Langue:English
Publié: 2018
Accès à la collection:Probability theory and related fields
Sujets:Journal Article Galton–Watson tree Infinite variance Infinitely divisible distributions Random walk in random environment Sub-ballistic