Typical properties of periodic Teichmüller geodesics: Lyapunov exponents

DOI10.1017/etds.2021.113OpenAlexW3214374451WikidataQ114119021 ScholiaQ114119021MaRDI QIDQ5889807

Ursula Hamenstädt

Publication date: 27 April 2023

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

Full work available at URL: https://doi.org/10.1017/etds.2021.113

zbMATH Keywords

periodic orbitsLyapunov exponentsequidistributionTeichmüller flowabelian differentials

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Periodic orbits of vector fields and flows (37C27) Teichmüller theory for Riemann surfaces (30F60)

Related Items (2)

Periodic orbits in the thin part of strata ⋮ Is a typical bi-Perron algebraic unit a pseudo-Anosov dilatation?

Cites Work

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• On hyperbolicity of free splitting and free factor complexes.
• Lattice point asymptotics and volume growth on Teichmüller space
• Counting closed geodesics in moduli space
• Quadratic differentials and foliations
• The end of the curve complex
• Stability of quasi-geodesics in Teichmüller space
• Invariant Radon measures on measured lamination space
• Foliations and laminations on hyperbolic surfaces
• The Teichmüller geodesic flow
• Interval exchange transformations and measured foliations
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Counting closed geodesics in strata
• Geometry of the complex of curves. I: Hyperbolicity
• The boundary at infinity of the curve complex and the relative Teichmüller space
• Bowen's construction for the Teichmüller flow
• From rational billiards to dynamics on moduli spaces
• Connected components of the strata of the moduli spaces of quadratic differentials
• Symbolic Dynamics for Hyperbolic Flows

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