Un th\'eor\`eme de Kerckhoff, Masur et Smillie : Unique ergodicit\'e sur les surfaces plates
Geometric Topology
2007-05-23 v1 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.math/0611827,
title = {Un th\'eor\`eme de Kerckhoff, Masur et Smillie : Unique ergodicit\'e sur les surfaces plates},
author = {Sebastien Gouezel and Erwan Lanneau},
journal= {arXiv preprint arXiv:math/0611827},
year = {2007}
}
Comments
28 pages, 10 figures. Submitted