Random walks on FKG-horizontally oriented lattices

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dc.creatorGuillotin-Plantard, Nadine
dc.creatorNy, Arnaud Le
dc.date2003-03-05
dc.date.accessioned2026-07-07T04:55:48Z
dc.date.available2026-07-07T04:55:48Z
dc.descriptionWe study the asymptotic behavior of the simple random walk on oriented version of $\mathbb{Z}^2$. The considered latticesare not directed on the vertical axis but unidirectional on the horizontal one, with symmetric random orientations which are positively correlated. We prove that the simple random walk is transient and also prove a functionnal limit theorem in the space of cadlag functions, with an unconventional normalization.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0303063
dc.identifierhttp://arxiv.org/abs/math/0303063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66705
dc.subjectProbability
dc.subject60K37, 60K35, 60F17
dc.titleRandom walks on FKG-horizontally oriented lattices
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