On the Transience of Processes Defined on Galton–watson Trees

@inproceedings{Collevecchio2006OnTT,
  title={On the Transience of Processes Defined on Galton–watson Trees},
  author={Andrea Collevecchio},
  year={2006}
}
We introduce a simple technique for proving the transience of certain processes defined on the random tree G generated by a supercrit-ical branching process. We prove the transience for once-reinforced random walks on G, that is, a generalization of a result of Durrett, Kesten and Limic [Probab. Theory Related Fields 122 (2002) 567– 592]. Moreover, we give a new proof for the transience of a family of biased random walks defined on G. Other proofs of this fact can be found in [Ann. as part of… CONTINUE READING

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