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Research talks;Dynamical Systems and Ordinary Differential Equations
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.
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).
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.
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 ...
37D40 ; 51A40 ; 37A25
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ISBN 978-3-540-05186-2
Lecture notes in mathematics , 0158
Localisation : Collection 1er étage
algèbre coordinatisante # collinéation et isomorphisme # configuration de Desargues # décomposition de Desargues # espace projectif ou affine # filet remplaçable # groupe de collinéation # groupe engendré par des transports # groupe linéaire # homologie comme transformation linéaire # plan de André génératisé # plan de translation fini
20Gxx ; 51A20 ; 51A30 ; 51A40 ; 54H15
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- 194 p.
ISBN 978-90-277-1243-1
Localisation : Ouvrage RdC (SZMI)
géométrie affine # géométrie euclidienne # plaan affine ordonné # point médian
51A30 ; 51A40 ; 51E15 ; 51M05 ; 51N10
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