A functional limit theorem for a 2D-random walk with dependent marginals

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dc.creatorGuillotin-Plantard, Nadine
dc.creatorNy, Arnaud Le
dc.date2007-05-23
dc.date.accessioned2026-07-07T08:02:57Z
dc.date.available2026-07-07T08:02:57Z
dc.descriptionWe prove a non-standard functional limit theorem for a two dimensional simple random walk on some randomly oriented lattices. This random walk, already known to be transient, has different horizontal and vertical fluctuations leading to different normalizations in the functional limit theorem, with a non-Gaussian horizontal behavior. We also prove that the horizontal and vertical components are not asymptotically independent.
dc.identifierhttps://arxiv.org/abs/0705.3342
dc.identifierhttp://arxiv.org/abs/0705.3342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129404
dc.subjectProbability
dc.titleA functional limit theorem for a 2D-random walk with dependent marginals
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