Quantitative recurrence in two-dimensional extended processes

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dc.creatorPène, Françoise
dc.creatorSaussol, Benoit
dc.date2007-09-17
dc.date.accessioned2026-07-07T08:30:01Z
dc.date.available2026-07-07T08:30:01Z
dc.descriptionUnder some mild condition, a random walk in the plane is recurrent. In particular each trajectory is dense, and a natural question is how much time one needs to approach a given small neighborhood of the origin. We address this question in the case of some extended dynamical systems similar to planar random walks, including $\ZZ^2$-extension of hyperbolic dynamics. We define a pointwise recurrence rate and relate it to the dimension of the process, and establish a convergence in distribution of the rescaled return times near the origin.
dc.identifierhttps://arxiv.org/abs/0709.2597
dc.identifierhttp://arxiv.org/abs/0709.2597
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138140
dc.subjectDynamical Systems
dc.subject37B20
dc.titleQuantitative recurrence in two-dimensional extended processes
dc.typetext

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