The generic points for the horocycle flow on a class of hyperbolic surfaces with infinite genus

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dc.creatorSarig, Omri
dc.creatorSchapira, Barbara
dc.date2008-03-13
dc.date.accessioned2026-07-07T12:17:38Z
dc.date.available2026-07-07T12:17:38Z
dc.descriptionA point is called generic for a flow preserving an infinite ergodic invariant Radon measure, if its orbit satisfies the conclusion of the ratio ergodic theorem for every pair of continuous functions with compact support and non-zero integrals. The generic points for horocycle flows on hyperbolic surfaces of finite genus are understood, but there are no results in infinite genus. We give such a result, by characterizing the generic points for $\Z^d$--covers.
dc.identifierhttps://arxiv.org/abs/0803.1943
dc.identifierhttp://arxiv.org/abs/0803.1943
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212141
dc.subjectDynamical Systems
dc.subject37A40, 37A17, 37D40
dc.titleThe generic points for the horocycle flow on a class of hyperbolic surfaces with infinite genus
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