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A new class of excited random walks on trees

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  • Del Greco M., Fabiola
  • Di Marzio, Marco
  • Panzera, Agnese

Abstract

We introduce a class of excited random walks defined on trees. The transience on the supercritical Galton-Watson tree for some processes in this class is proved as well as a conjecture of [Volkov, S., 2003. Excited random walk on trees. Electronic Journal of Probability 8, 1-15] which is closely related.

Suggested Citation

  • Del Greco M., Fabiola & Di Marzio, Marco & Panzera, Agnese, 2008. "A new class of excited random walks on trees," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1981-1989, September.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:13:p:1981-1989
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