Titlebook: Lyapunov Exponents; Proceedings of a Con Ludwig Arnold,Hans Crauel,Jean-Pierre Eckmann Conference proceedings 1991 Springer-Verlag Berlin H

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An inequality for the Ljapunov exponent of an ergodic invariant measure for a piecewise monotonic mWe consider a piecewise monotonic and piecewise continuous map . on the interval. Under a weak condition on the derivative of ., we show for an ergodic invariant probability measure . that ..≤max{0, λ.}, where .. denotes the entropy and λ. the Ljapunov exponent of ..

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The upper Lyapunov exponent of Sl(2,R) cocycles: Discontinuity and the problem of positivity,sitive almost everywhere..We prove that the set . is not empty. So, there are always points in . where the Lyapunov exponents are discontinuous..We show further that the decision whether a given cocycle is in . is at least as hard as the following cohomology problem: Can a given measurable set . be

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Filtre de Kalman Bucy et exposants de Lyapounov,le comportement asymptotique du filtre, que nous avions obtenues à partir de propriétés de contraction, peuvent aussi être montrées en utilisant le théorème d‘Osseledets et un résultat de M. Wojtkowski. Le filtre est exponentiellement stable avec un taux déterminé par le plus petit exposant de Lyapo

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Titlebook: Lyapunov Exponents; Proceedings of a Con Ludwig Arnold,Hans Crauel,Jean-Pierre Eckmann Conference proceedings 1991 Springer-Verlag Berlin H

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