Simple root flows for Hitchin representations

DOI10.1007/s10711-017-0305-2zbMath1383.53038arXiv1708.01675OpenAlexW2962726948MaRDI QIDQ684202

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

Publication date: 9 February 2018

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.01675

zbMATH Keywords

thermodynamicsrigiditygeodesic flowshyperbolic groupsHitchin representationsgeodesic currents

Mathematics Subject Classification ID

Rigidity results (53C24) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Differential geometry of symmetric spaces (53C35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (15)

An introduction to pressure metrics for higher Teichmüller spaces ⋮ Small \(C^1\) actions of semidirect products on compact manifolds ⋮ Subset currents on surfaces ⋮ A report on an ergodic dichotomy ⋮ Working session: Higher rank Teichmüller theory. Abstracts from the working session held October 9--14, 2022 ⋮ Entropy and affine actions for surface groups ⋮ Hessian of Hausdorff dimension on purely imaginary directions ⋮ Pressure metrics for cusped Hitchin components ⋮ Hitchin representations of Fuchsian groups ⋮ Geodesic coordinates for the pressure metric at the Fuchsian locus ⋮ Hitchin components for orbifolds ⋮ Correlation of the renormalized Hilbert length for convex projective surfaces ⋮ Simple root flows for Hitchin representations ⋮ Strong symbolic dynamics for geodesic flows on \(\operatorname{CAT}(-1)\) spaces and other metric Anosov flows ⋮ Counting, equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations

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