Equidistribution results for geodesic flows

DOI10.1017/etds.2012.153zbMath1350.37038arXiv1004.2585OpenAlexW2140353012MaRDI QIDQ5166509

Abdelhamid Amroun

Publication date: 27 June 2014

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

Full work available at URL: https://arxiv.org/abs/1004.2585

zbMATH Keywords

Riemannian metricgeodesicsgeodesic flowsequilibrium states

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Spaces of measures, convergence of measures (28A33) Topological entropy (37B40) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

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• Continuity properties of entropy
• Sur les variétés à courbure strictement positive
• The uniqueness of the measure of maximal entropy for geodesic flows on rank 1 manifolds
• Rigidity and dynamics around manifolds of negative curvature
• The ergodic theory of discrete isometry groups on manifolds of variable negative curvature

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