Periodic geodesics on translation surfaces

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dc.creatorVorobets, Yaroslav
dc.date2003-07-17
dc.date.accessioned2026-07-07T04:59:45Z
dc.date.available2026-07-07T04:59:45Z
dc.descriptionAs shown by Masur in 80s, for any translation surface there exists a periodic geodesic of bounded length, the directions of periodic geodesics are dense in the unit circle, and the number of cylinders of periodic geodesics of length at most T admits upper and lower quadratic estimates. The main goal of this paper is to generalize the above results, with special interest in obtaining effective estimates. In addition, we apply results of Eskin and Masur to establish some properties of periodic geodesics on generic translation surfaces.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0307249
dc.identifierhttp://arxiv.org/abs/math/0307249
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68110
dc.subjectDynamical Systems
dc.subject37C27, 37E35
dc.titlePeriodic geodesics on translation surfaces
dc.typetext

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