Polynomial decay of correlations for nonpositively curved surfaces
Copyright policy )Polynomial decay of correlations for nonpositively curved surfaces
We prove polynomial decay of correlations for geodesic flows on a class of nonpositively curved surfaces where zero curvature only occurs along one closed geodesic. We also prove that various statistical limit laws, including the central limit theorem, are satisfied by this class of geodesic flows.
- French National Centre for Scientific Research France
- University of Warwick United Kingdom
- Universidade Federal do Ceará Brazil
Mathematics - Differential Geometry, polynomial decay of correlations, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), nonpositive curvature, Young towers, Ergodicity, mixing, rates of mixing, geodesic flows, Dynamical Systems (math.DS), Dynamical systems and their relations with probability theory and stochastic processes, 37C10, 37C83, 37D40 (primary), 37D25 (secondary), Differential Geometry (math.DG), FOS: Mathematics, Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.), Mathematics - Dynamical Systems
Mathematics - Differential Geometry, polynomial decay of correlations, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), nonpositive curvature, Young towers, Ergodicity, mixing, rates of mixing, geodesic flows, Dynamical Systems (math.DS), Dynamical systems and their relations with probability theory and stochastic processes, 37C10, 37C83, 37D40 (primary), 37D25 (secondary), Differential Geometry (math.DG), FOS: Mathematics, Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.), Mathematics - Dynamical Systems
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