Recurrence and transience of excited random walks on $\Z^d$ and strips

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dc.creatorZerner, Martin P. W.
dc.date2006-01-10
dc.date.accessioned2026-07-07T06:58:45Z
dc.date.available2026-07-07T06:58:45Z
dc.descriptionWe investigate excited random walks on $\Z^d, d\ge 1,$ and on planar strips $\Z\times\{0,1,...,L-1\}$ which have a drift in a given direction. The strength of the drift may depend on a random i.i.d. environment and on the local time of the walk. We give exact criteria for recurrence and transience, thus generalizing results by Benjamini and Wilson for once-excited random walk on $\Z^d$ and by the author for multi-excited random walk on $\Z$.
dc.description12 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0601233
dc.identifierhttp://arxiv.org/abs/math/0601233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107484
dc.subjectProbability
dc.subject60K35, 60K37, 60J10
dc.titleRecurrence and transience of excited random walks on $\Z^d$ and strips
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