Annales Scientifiques de l’École Normale Supérieure
Volume 36, Issue 6, November–December 2003, Pages 847-866
Affine diffeomorphisms of translation surfaces: Periodic points, Fuchsian groups, and arithmeticity
References (30)
- et al.
Veech groups and polygonal coverings
J. Geom. Phys.
(2000) - et al.
Fractions continues sur les surfaces de Veech
J. Anal. Math.
(2000) The Geometry of Discrete Groups
(1983)- et al.
Teichmüller disks and Veech's structures, Extremal Riemann Surfaces
- et al.
Asymptotic formulas on flat surfaces
Ergodic Theory Dynam. Systems
(2001) - et al.
Riemann Surfaces, 2nd Edition
(1992) - et al.
Concerning the transitive properties of geodesics on a rational polyhedron
Duke Math. J.
(1936) Billiard flows on almost integrable polyhedral surfaces
Ergodic Theory Dynam. Systems
(1984)Billiards in polygons: survey of recent results
J. Statist. Phys.
(1996)Branched coverings and closed geodesies in flat surfaces, with applications to billiards
The geometry and arithmetic of translation surfaces with applications to polygonal billiards
Math. Res. Lett.
(1996)
Affine mappings of translation surfaces: Geometry and arithmetic
Duke Math. J.
(2000)
Quadratic differentials and foliations
Acta Math.
(1979)
An Introduction to the Theory of Numbers
(1938)
Invariants of translation surfaces
Ann. Inst. Fourier
(2001)
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2022, arXiv
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