Strong symbolic dynamics for geodesic flows on \(\operatorname{CAT}(-1)\) spaces and other metric Anosov flows

DOI10.5802/jep.115zbMath1436.37046arXiv1808.04395OpenAlexW2999318180WikidataQ126342767 ScholiaQ126342767MaRDI QIDQ2288149

Daniel J. Thompson, David Constantine, Jean-François Lafont

Publication date: 17 January 2020

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04395

zbMATH Keywords

geodesic flowssymbolic dynamicsmetric Anosov flowsprojective Anosov representations

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (7)

Counting problems for special-orthogonal Anosov representations ⋮ A report on an ergodic dichotomy ⋮ The Martin boundary of an extension by a hyperbolic group ⋮ Topological flows for hyperbolic groups ⋮ Counting, equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations ⋮ The conformal measures of a normal subgroup of a cocompact Fuchsian group ⋮ Beyond Bowen’s Specification Property

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