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This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems, and can be viewed as an update of Kifer's book. An entropy formula of Pesin's type occupies the central part. The introduction of relation numbers (ch.2) is original and most methods involved in the book are canonical in dynamical systems or measure theory. The book is intended for people interested in noise-perturbed dynam- ical systems, and can pave the way to further study of the subject. Reasonable knowledge of differential geometry, measure theory, ergodic theory, dynamical systems and preferably random processes is assumed.
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Contenuti
Preliminaries.- Entropy and Lyapunov exponents of random diffeomorphisms.- Estimation of entropy from above through Lyapunov exponents.- Stable invariant manifolds of random diffeomorphisms.- Estimation of entropy from below through Lyapunov exponents.- Stochastic flows of diffeomorphisms.- Characterization of measures satisfying entropy formula.- Random perturbations of hyperbolic attractors.
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Smooth Ergodic Theory of Random Dynamical Systems. Lecture notes in mathematics ; 1606.
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228 pages Ex-Library book in very good condition. 9783540600046 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 1166235
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Smooth ergodic theory of random dynamical systems. Lecture notes in mathematics; Bd. 1606.
Da: Antiquariat Bookfarm, Löbnitz, Germania
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03249 9783540600046 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2489153
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Smooth Ergodic Theory of Random Dynamical Systems
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Smooth Ergodic Theory of Random Dynamical Systems (Lecture Notes in Mathematics, 1606)
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Smooth Ergodic Theory of Random Dynamical Systems (Paperback)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1995
ISBN 10: 3540600043
ISBN 13: 9783540600046
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Paperback. Condizione: new. Paperback. This text studies ergodic-theoretic aspects of random dynamical systems, for example, deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems. An entropy formula of Pesin's type occupies the central part of the text whilst chapter two introduces relation numbers highlighting canonical methods in dynamical systems and measure theory. The text is intended for readers interested in noise-perturbed dynamical systems and may indicate further areas of study. Reasonable knowledge of differetial geometry, measure theory, ergodic theory, dynamical systems and preferably random processees is assumed. This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. The introduction of relation numbers (ch.2) is original and most methods involved in the book are canonical in dynamical systems or measure theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783540600046
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Smooth Ergodic Theory of Random Dynamical Systems
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Smooth Ergodic Theory of Random Dynamical Systems (Lecture Notes in Mathematics, 1606)
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Smooth Ergodic Theory of Random Dynamical Systems
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PF. Condizione: New. Codice articolo 6666-IUK-9783540600046
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Smooth Ergodic Theory of Random Dynamical Systems
ISBN 10: 3540600043
ISBN 13: 9783540600046
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems, and can be viewed as an update of Kifer's book. An entropy formula of Pesin's type occupies the central part. The introduction of relation numbers (ch.2) is original and most methods involved in the book are canonical in dynamical systems or measure theory. The book is intended for people interested in noise-perturbed dynam- ical systems, and can pave the way to further study of the subject. Reasonable knowledge of differential geometry, measure theory, ergodic theory, dynamical systems and preferably random processes is assumed. 240 pp. Englisch. Codice articolo 9783540600046
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Smooth Ergodic Theory of Random Dynamical Systems
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of suc. Codice articolo 4895065
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