Veech surface

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1

WEAK MIXING DIRECTIONS IN NON-ARITHMETIC VEECH SURFACES ARTUR AVILA AND VINCENT DELECROIX Abstract. We show that the billiard in a regular polygon is weak mixing in almost every invariant surface, except in the trivial c

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Source URL: webusers.imj-prg.fr

Language: English
    2Connection / Dynamical systems / Curvature / Geodesic / Ergodic theory / Veech surface / Sphere / Holonomy / Parallel transport / Geometry / Differential geometry / Surfaces

    To appear in Frontiers in Number Theory, Physics, and Geometry Vol.I, P. Cartier; B. Julia; P. Moussa; P. Vanhove (Editors), Springer Verlag, [removed]arXiv:math/0609392v2 [math.DS] 14 Sep 2006

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    Source URL: arxiv.org

    Language: English
    3Riemann surfaces / Hyperbolic geometry / Differential geometry / Veech surface / Differential geometry of surfaces / Limit set / Quadratic differential / Geodesic / Orbifold / Geometry / Dynamical systems / Surfaces

    in collection “Problems on Mapping Class Groups and Related Topics”, edited by B.Farb, Proc. Symp. Pure Math., Amer. Math. Soc., 2006. Problems on billiards, flat surfaces and translation surfaces Pascal Hubert

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    Source URL: www.math.iupui.edu

    Language: English - Date: 2007-02-09 14:03:38
    4Riemann surfaces / Hyperbolic geometry / Differential geometry / Veech surface / Differential geometry of surfaces / Limit set / Quadratic differential / Geodesic / Orbifold / Geometry / Dynamical systems / Surfaces

    in collection “Problems on Mapping Class Groups and Related Topics”, edited by B.Farb, Proc. Symp. Pure Math., Amer. Math. Soc., 2006. Problems on billiards, flat surfaces and translation surfaces Pascal Hubert

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    Source URL: www.imath.kiev.ua

    Language: English - Date: 2007-02-06 07:25:10
    5Surfaces / Ergodicity / Invariant measure / Veech surface / Measure-preserving dynamical system / Oseledets theorem / Orbifold / Dynamical systems / Mathematical analysis / Ergodic theory

    arXiv:1109.4584v1 [math.DS] 21 Sep 2011

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    Source URL: arxiv.org

    Language: English - Date: 2011-09-21 20:10:47
    6Dynamical systems / Veech surface / Geometric topology / Conformal geometry / Torus / Polygon / SL2 / Computer representation of surfaces / Möbius transformation / Geometry / Surfaces / Riemann surfaces

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    Source URL: www.cmi.univ-mrs.fr

    Language: English - Date: 2008-07-25 16:34:03
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