Ergodic Theory and Dynamical Systems · 1982 · 213 citations · 7 references
Natural SciencesMathematicsPhysicsDynamical SystemsProbability TheoryStochastic ProcessesChaos TheoryContinuous Dynamical SystemsEntropyErgodic TheoryHyperbolic DynamicsMarkov ProcessesAttractor DynamicsAttractorsGibbs DistributionHyperbolic AttractorsLimit PointsPartially Hyperbolic DynamicsStable ManifoldsUnstable Manifolds
Abstract We consider iterates of absolutely continuous measures concentrated in a neighbourhood of a partially hyperbolic attractor. It is shown that limit points can be measures which have conditional measures of a special form for any partition into subsets of unstable manifolds.
7
CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
Ya. B. Pesin · Russian Mathematical Surveys · 1977 · 1.4K citations
PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS
Michael Brin, Ja B Pesin · Mathematics of the USSR-Izvestiya · 1974 · 311 citations
D. V. Anosov, Yakov G. Sinai · Russian Mathematical Surveys · 1967 · 290 citations
M. W. Hirsch, Charles Pugh, M. Shub · Bulletin of the American Mathematical Society · 1970 · 143 citations · Full text