On the Transience of Processes Defined on Galton–watson Trees

  title={On the Transience of Processes Defined on Galton–watson Trees},
  author={Andrea Collevecchio},
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

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 19 references

Limit theorems for reinforced random walks on certain trees

  • A. Collevecchio
  • Probab . Theory Related Fields . To appear
  • 2006

A once edgereinforced random walk on a Galton – Watson tree is transient

  • J. J. Dai
  • Statist . Probab . Lett .
  • 2005

Vertex - reinforced jump process on trees and finite graphs

  • B. Davis, S. Volkov
  • Probab . Theory Related Fields
  • 2004

Once reinforced random walk

  • R. Durrett, H. Kesten, V. Limic
  • Probab . Theory Related Fields
  • 2002

Similar Papers

Loading similar papers…