Un théorème de Kerckhoff, Masur et Smillie : Unique ergodicité sur les surfaces plates

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This article is based on the lectures given at the ``Ecole thematique de theorie ergodique'', at the C.I.R.M. in Marseille, in April 2006. We give a complete proof of a theorem of Kerckhoff, Masur and Smillie on the unique ergodicity of the directional flow on a translation surface in almost every direction. The proof follows the one presented in the survey of Masur and Tabachnikov.
28 pages, 10 figures. Submitted

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Geometric Topology, Dynamical Systems, 32G15 (Primary) 30F30, 57R30, 37D40 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/119438

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611827
 http://arxiv.org/abs/math/0611827

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arXiv