Slow Divergence and Unique Ergodicity

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dc.creatorCheung, Yitwah
dc.creatorEskin, Alex
dc.date2007-11-02
dc.date.accessioned2026-07-07T08:40:06Z
dc.date.available2026-07-07T08:40:06Z
dc.descriptionMasur showed that a Teichmuller geodesic that is recurrent in the moduli space of closed Riemann surfaces is necessarily determined by a quadratic differential with a uniquely ergodic vertical foliation. In this paper, we show that a divergent Teichmuller geodesic satisfying a certain slow rate of divergence is also necessarily determined by a quadratic differential with unique ergodic vertical foliation. As an application, we sketch a proof of a complete characterization of the set of nonergodic directions in any double cover of the flat torus branched over two points.
dc.description18 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0711.0240
dc.identifierhttp://arxiv.org/abs/0711.0240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141288
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject2G15; 30F30; 30F60; 37A25
dc.titleSlow Divergence and Unique Ergodicity
dc.typetext

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