A new class of excited random walks on trees

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

Statistics & Probability Letters, 2008, vol. 78, issue 13, 1981-1989

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.

Date: 2008
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