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

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

2006-11-27

arxiv.org/abs/math/0611827v1

Mathematics

Geometric Topology

28 pages, 10 figures. Submitted

Scientific paper

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.

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