Annals of Mathematics · 2004 · 232 citations · 21 references
Natural SciencesPhysicsFluid DynamicsCurved SpacetimeGeodesic MotionSpacetime GeometryAnosov FlowsConstant Negative CurvatureCurvatureExponential DecayGeodesic EquationsGeodesic FlowsGeodesic Motion On Riemannian Manifolds
Exponential decay of correlations for C 4 contact Anosov flows is established. This implies, in particular, exponential decay of correlations for all smooth geodesic flows in strictly negative curvature.
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Introduction to the modern theory of dynamical systems
Choice Reviews Online · 1996 · 3.8K citations
GIBBS MEASURES IN ERGODIC THEORY
Yakov G. Sinai · Russian Mathematical Surveys · 1972 · 1K citations
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On Decay of Correlations in Anosov Flows
Dmitry Dolgopyat · Annals of Mathematics · 1998 · 396 citations
Carlangelo Liverani · Annals of Mathematics · 1995 · 316 citations