Multi angle Unique ergodicity of geodesic flow in an infinite translation surface
Auteurs : Rafi, Kasra (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : The behaviour of infinite translation surfaces is, in many regards, very different from the finite case. For example, the geodesic flow is often not recurrent or is not even defined for infinite time in a generic direction.Codes MSC :
However, we show that if one focuses on a class of infinite translation surfaces that exclude the obvious counter-examples, one can adapted the proof of Kerckhoff, Masur, and Smillie and show that the geodesic flow is uniquely ergodic in almost every direction. We call this class of surface essentially finite.
(joint work with Anja Randecker).
37A25 - Ergodicity, mixing, rates of mixing
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
51A40 - Translation planes and spreads