http://lma.homelinux.org/~twiki/bin/view/WildSurfaces The WildSurfaces web of TWiki. TWiki is a Web-Based Collaboration Platform for the Corporate World. en-us Copyleft 2009 TWiki Administrator [twiki@lma.homelinux.org] TWiki Administrator [twiki@lma.homelinux.org] TWiki TWiki.WildSurfaces http://lma.homelinux.org/~twiki/bin/view/WildSurfaces http://lma.homelinux.org/~twiki/pub/TWiki/TWikiLogos/coinptitoeil.png http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/WebStatistics?t=2009-11-01T01:05Z Statistics for WildSurfaces Web Month: Topic views: Topic saves: File uploads: Most popular topic views: Top contributors for topic save and uploads: Oct 2009 262 ... (last changed by guest) 2009-11-01T01:05Z guest 1.51 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/WebStatistics http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/WebStatistics http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/WebHome?t=2008-06-03T15:43Z Wild Translation Surfaces Project MANY GENERIC RESULTS STOP- LACK OF CONCRETE EXAMPLES STOP- WELCOME HERE STOP- This project aims to create an evolutive encyclopedia ... (last changed by ThierryMonteil) 2008-06-03T15:43Z ThierryMonteil 1.24 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/WebHome http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/WebHome http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/BilliardWithWall?t=2007-02-15T15:47Z Billiard with wall A billiard table that looks like the one of the computer game Blobby Volley and whose associated translation surface is such that the set of minimal ... (last changed by ThierryMonteil) 2007-02-15T15:47Z ThierryMonteil 1.3 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/BilliardWithWall http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/BilliardWithWall http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/ArnouxYoccozSurface?t=2007-02-13T23:13Z Arnoux-Yoccoz surface(s) hmm, this page seems very empty... References ARNOUX (P.) et YOCCOZ (J.C.). — Construction de difféomorphismes pseudo-Anosov, C. R. Acad ... (last changed by SamuelLelievre) 2007-02-13T23:13Z SamuelLelievre 1.2 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/ArnouxYoccozSurface http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/ArnouxYoccozSurface http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/ThurstonSurface?t=2006-02-17T17:38Z In his notes ``On the geometry and dynamics of diffeomorphisms of surfaces'', Thurston describes a method for constructing surfaces (generally half-translation surfaces ... (last changed by JoshuaBowman) 2006-02-17T17:38Z JoshuaBowman 1.1 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/ThurstonSurface http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/ThurstonSurface http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/CompletePeriodicity?t=2006-02-15T17:48Z Complete periodicity Definition A surface is said to be completely periodic if for each direction that contains a periodic trajectory, the surface can be fully decomposed ... (last changed by ThierryMonteil) 2006-02-15T17:48Z ThierryMonteil 1.3 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/CompletePeriodicity http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/CompletePeriodicity http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/BouillabaisseSurfaces?t=2006-02-15T17:47Z Bouillabaisse Surfaces Definition A translation surface is said to be bouillabaisse if it Veech group admits at least two parabolic elements that do not commute. ... (last changed by ThierryMonteil) 2006-02-15T17:47Z ThierryMonteil 1.1 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/BouillabaisseSurfaces http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/BouillabaisseSurfaces http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/SquaredSnakeSurface?t=2006-02-13T21:51Z The squared snake surface TOC Description of the surface The opposite vertical lines are identified by horizontal translation, the vertical lines with the same style ... (last changed by SamuelLelievre) 2006-02-13T21:51Z SamuelLelievre 1.5 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/SquaredSnakeSurface http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/SquaredSnakeSurface http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/RegularDecagon?t=2006-02-08T11:02Z The Regular Decagon Description and basic facts genus : 2 stratum : $\mathcal{H}(1,1)$ Veech surface (Veech) Veech group : Properties up to SL(2,R), this is the only ... (last changed by ThierryMonteil) 2006-02-08T11:02Z ThierryMonteil 1.3 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/RegularDecagon http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/RegularDecagon http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/ObtuseVeechTriangle?t=2006-02-08T11:02Z Obtuse Veech triangle An obtuse triangular table whose associated translation surface is Veech. http://www.math.sunysb.edu/~pat/docs/papers/veech triangle.ps just ... (last changed by ThierryMonteil) 2006-02-08T11:02Z ThierryMonteil 1.2 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/ObtuseVeechTriangle http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/ObtuseVeechTriangle http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/LatticeProperty?t=2006-02-08T10:59Z Lattice property Brief definition Since $SL(2,\mathbb{R})$ acts on $\mathbb{R}^2$ , it also acts on the space of translation surfaces (in the charts). For any translation ... (last changed by ThierryMonteil) 2006-02-08T10:59Z ThierryMonteil 1.1 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/LatticeProperty http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/LatticeProperty http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/LShapedSurfaces?t=2006-02-08T10:14Z L-shaped translation surfaces Description of the surface It is in fact a familiy of surfaces P(a,b) that depend on two parameters: The opposite lines are identified ... (last changed by ThierryMonteil) 2006-02-08T10:14Z ThierryMonteil 1.1 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/LShapedSurfaces http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/LShapedSurfaces http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/DoubleCoveredRegularOctagon?t=2006-02-08T09:11Z Double covered regular octagon A branched covering of the translation surface obtained when we identify the opposite sides of a regular octagon, whose Veech group ... (last changed by ThierryMonteil) 2006-02-08T09:11Z ThierryMonteil 1.2 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/DoubleCoveredRegularOctagon http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/DoubleCoveredRegularOctagon http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/NoOneCylinderDecomposition?t=2006-02-08T09:08Z A surface S is said to have NoOneCylinderDecomposition if there is no direction such that S is equal to one cylinder in that direction. The SquaredSnakeSurface and ... (last changed by ThierryMonteil) 2006-02-08T09:08Z ThierryMonteil 1.3 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/NoOneCylinderDecomposition http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/NoOneCylinderDecomposition http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/NoGeodesicFromASingularityToItself?t=2006-02-08T09:05Z Definition A surface is said to have NoGeodesicFromASingularityToItself if every geodesic going from a singularity to itself has to meet first another singularity ... (last changed by ThierryMonteil) 2006-02-08T09:05Z ThierryMonteil 1.4 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/NoGeodesicFromASingularityToItself http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/NoGeodesicFromASingularityToItself http://lma.homelinux.org/~twiki/bin/view/WildSurfaces/TorusBranchedCovering?t=2006-02-07T10:12Z Torus branched coverings A surface S is said to be a torus branched covering if there exists a flat branched covering from S to a flat torus. Such surfaces have a ... (last changed by ThierryMonteil) 2006-02-07T10:12Z ThierryMonteil 1.2 updated major http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/TorusBranchedCovering http://lma.homelinux.org/~twiki/bin/rdiff/WildSurfaces/TorusBranchedCovering