Fibres dynamiques asymptotiquement compacts, exposants de Lyapunov. Entropie. Dimension. (Asymptotically compact dynamical bundles, Lyapunov exponents. Entropy. Dimension) (Q1091010)

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scientific article; zbMATH DE number 4009383
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Fibres dynamiques asymptotiquement compacts, exposants de Lyapunov. Entropie. Dimension. (Asymptotically compact dynamical bundles, Lyapunov exponents. Entropy. Dimension)
scientific article; zbMATH DE number 4009383

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    Fibres dynamiques asymptotiquement compacts, exposants de Lyapunov. Entropie. Dimension. (Asymptotically compact dynamical bundles, Lyapunov exponents. Entropy. Dimension) (English)
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    1987
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    This paper deals with: (1) an abstract Oseledec' theorem in infinite dimension: the construction of Lyapunov exponents and stable associated bundles; (2) the estimation of entropy through the sum of positive exponents; (3) the inequality between the capacity dimension and Lyapunov dimension.
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    Oseledec' theorem
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    Lyapunov exponents
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