An introduction to pressure metrics for higher Teichmüller spaces

DOI10.1017/etds.2016.111zbMath1397.37032arXiv1507.03894OpenAlexW2963929466MaRDI QIDQ3177861

Richard D. Canary, Andrés Sambarino, Martin J. Bridgeman

Publication date: 2 August 2018

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

Full work available at URL: https://arxiv.org/abs/1507.03894

zbMATH Keywords

Teichmüller spacethermodynamic formalismHitchin component

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Teichmüller theory for Riemann surfaces (30F60)

Related Items (18)

From Hyperbolic Dehn Filling to Surgeries in Representation Varieties ⋮ Pressure metrics for deformation spaces of quasifuchsian groups with parabolics ⋮ Working session: Higher rank Teichmüller theory. Abstracts from the working session held October 9--14, 2022 ⋮ McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential ⋮ Zeta functions in higher Teichmüller theory ⋮ Hessian of Hausdorff dimension on purely imaginary directions ⋮ Pressure metrics for cusped Hitchin components ⋮ Hitchin representations of Fuchsian groups ⋮ Correlation of the renormalized Hilbert length for convex projective surfaces ⋮ Pressure metrics and Manhattan curves for Teichmüller spaces of punctured surfaces ⋮ Topological flows for hyperbolic groups ⋮ Simple root flows for Hitchin representations ⋮ Anosov representations and dominated splittings ⋮ Simple length rigidity for Hitchin representations ⋮ Strong symbolic dynamics for geodesic flows on \(\operatorname{CAT}(-1)\) spaces and other metric Anosov flows ⋮ Riemannian metrics on the moduli space of GHMC anti-de Sitter structures ⋮ A Glimpse into Thurston’s Work ⋮ Geodesic stretch, pressure metric and marked length spectrum rigidity

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