Topological dichotomy and strict ergodicity for translation surfaces

DOI10.1017/S0143385708000126zbMath1167.37005arXivmath/0607179MaRDI QIDQ3548614

Pascal Hubert, Yitwah Cheung, Howard A. Masur

Publication date: 16 December 2008

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607179

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General groups of measure-preserving transformations and dynamical systems (37A15) Flows on surfaces (37E35)

Related Items (5)

Topological Veech dichotomy and tessellations of the hyperbolic plane ⋮ The distribution of gaps for saddle connection directions ⋮ Limit sets of Teichmüller geodesics with minimal non-uniquely ergodic vertical foliation ⋮ Parking garages with optimal dynamics ⋮ The conformal geometry of billiards

Cites Work

• Unnamed Item
• Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
• Hausdorff dimension of sets of nonergodic measured foliations
• Infinitely generated Veech groups
• Teichmüller geodesics of infinite complexity.
• Prym varieties and Teichmüller curves
• Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmüller curve
• Teichmüller curves in genus two: Torsion divisors and ratios of sines
• Teichmüller curves in genus two: Discriminant and spin
• Unipotent flows on the space of branched covers of Veech surfaces
• Billiards and Teichmüller curves on Hilbert modular surfaces
• Teichmüller curves in genus two: The decagon and beyond
• Veech surfaces and complete periodicity in genus two
• Minimal non-ergodic directions on genus-2 translation surfaces
• Strict Ergodicity in Zero Dimensional Dynamical Systems and the Kronecker-Weyl Theorem Mod 2

This page was built for publication: Topological dichotomy and strict ergodicity for translation surfaces