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.
A new class of excited random walks on trees / Fabiola Del Greco M.; Marco Di Marzio; Agnese Panzera. - In: STATISTICS & PROBABILITY LETTERS. - ISSN 0167-7152. - STAMPA. - 78:(2008), pp. 1981-1989. [10.1016/j.spl.2008.01.050]
A new class of excited random walks on trees
PANZERA, AGNESE
2008
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.
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