Multi-excited random walks on integers

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dc.creatorZerner, Martin P. W.
dc.date2004-03-03
dc.date.accessioned2026-07-07T05:05:53Z
dc.date.available2026-07-07T05:05:53Z
dc.descriptionWe introduce a class of nearest-neighbor integer random walks in random and non-random media, which includes excited random walks considered in the literature. At each site the random walker has a drift to the right, the strength of which depends on the environment at that site and on how often the walker has visited that site before. We give exact criteria for recurrence and transience and consider the speed of the walk.
dc.description25 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0403060
dc.identifierhttp://arxiv.org/abs/math/0403060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70340
dc.subjectProbability
dc.subject60K35, 60K37, 60J10
dc.titleMulti-excited random walks on integers
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