Length asymptotics in higher Teichmüller theory

DOI10.1090/S0002-9939-2013-12059-9zbMath1288.37004OpenAlexW2045916591MaRDI QIDQ2862174

Mark Pollicott, Richard Sharp

Publication date: 14 November 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-12059-9

zbMATH Keywords

geodesic flowlength functionsZeta functionshigher Teichmüller spaces

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fundamental group, presentations, free differential calculus (57M05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (5)

An introduction to pressure metrics for higher Teichmüller spaces ⋮ Length functions of Hitchin representations ⋮ Hitchin representations of Fuchsian groups ⋮ The pressure metric for Anosov representations ⋮ Counting, equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zariski dense surface subgroups in \(\mathrm{SL}(3,\mathbb Z)\).
• Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen. II
• Closed orbits in homology classes
• Distribution of periodic orbits of symbolic and axiom A flows
• Topological components of spaces of representations
• Lie groups and Teichmüller space
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• Large deviations, averaging and periodic orbits of dynamical systems
• Synchronization of canonical measures for hyperbolic attractors
• The central limit theorem for geodesic flows on \(n\)-dimensional manifolds of negative curvature
• Cohomological inequalities for finite topological Markov chains
• Anosov flows, surface groups and curves in projective space
• Markov partitions for Anosov flows on \(n\)-dimensional manifolds
• Closed orbits in homology classes for Anosov flows
• Approximation by Brownian motion for Gibbs measures and flows under a function
• Symbolic Dynamics for Hyperbolic Flows
• Small Subgroups of
• Convex Real Projective Structures on Closed Surfaces are Closed
• Cross ratios, Anosov representations and the energy functional on Teichmüller space
• Invariant manifolds

This page was built for publication: Length asymptotics in higher Teichmüller theory