Excited against the tide: A random walk with competing drifts

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dc.creatorHolmes, Mark
dc.date2009-01-28
dc.date.accessioned2026-07-07T12:35:09Z
dc.date.available2026-07-07T12:35:09Z
dc.descriptionWe study a random walk that has a drift $\fracβ{d}$ to the right when located at a previously unvisited vertex and a drift $\fracμ{d}$ to the left otherwise. We prove that in high dimensions, for every $μ$, the drift to the right is a strictly increasing and continuous function of $β$, and that there is precisely one value $β_0(μ,d)$ for which the resulting speed is zero.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0901.4393
dc.identifierhttp://arxiv.org/abs/0901.4393
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217678
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35; 82B41
dc.titleExcited against the tide: A random walk with competing drifts
dc.typetext

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