Ljapunov Characteristic Exponents and Ergodic Properties of Smooth Dynamical Systems with an Invariant Measure
Ja B Pesin
Abstract
Let f be a diffeomorphism of class C 2 of a compact Riemannian manifold M, preserving a smooth measure v, and suppose M has a measurable invariant set Λ of positive measure such that for each x ϵ Λ there is a vector v ϵ T x M for which the characteristic exponent χ(v) = χ(v, x) < 0
Topics & Concepts
Ergodic theoryInvariant measureInvariant (physics)MathematicsMeasure (data warehouse)Dynamical systems theoryPure mathematicsStatistical physicsMathematical analysisPhysicsMathematical physicsComputer scienceQuantum mechanicsData miningStability and Controllability of Differential EquationsQuantum chaos and dynamical systemsMathematical and Theoretical Epidemiology and Ecology Models