arXiv:1605.05050 Abstract | arXiv Analytics

arXiv:1605.05050 [math.PR]Abstract References Reviews Resources

Escape regimes of biased random walks on Galton-Watson trees

Published 2016-05-17Version 1

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 phenomena for the walk on the subcritical tree which, in this case, always yield sub-ballisticity. This is contrary to the walk on the supercritical tree which always has some ballistic phase.

Categories: math.PR

Subjects: 60K37, 60F05, 60E07, 60J80

Keywords: escape regimes, study biased random walk, supercritical tree, sub-ballistic regime, supercritical galton-watson trees

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