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- catalog abstract "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.".
- catalog contributor b8696936.
- catalog contributor b8696937.
- catalog contributor b8696938.
- catalog created "1995.".
- catalog date "1995".
- catalog date "1995.".
- catalog dateCopyrighted "1995.".
- catalog description "Ch. I. Entropy and Lyapunov Exponents of Random Diffeomorphisms -- Ch. II. Estimation of Entropy from Above Through Lyapunov Exponents -- Ch. III. Stable Invariant Manifolds of Random Diffeomorphisms -- Ch. IV. Estimation of Entropy from Below Through Lyapunov Exponents -- Ch. V. Stochastic Flows of Diffeomorphisms -- Ch. VI. Characterization of Measures Satisfying Entropy Formula -- Ch. VII. Random Perturbations of Hyperbolic Attractors -- Appendix. A Margulis-Ruelle Inequality for Random Dynamical Systems.".
- catalog description "Includes bibliographical references and index.".
- catalog description "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.".
- catalog extent "xi, 221 p. ;".
- catalog hasFormat "Smooth ergodic theory of random dynamical systems.".
- catalog identifier "0387600043 (New York : acid-free)".
- catalog identifier "3540600043 (Berlin : acid-free)".
- catalog isFormatOf "Smooth ergodic theory of random dynamical systems.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1606.".
- catalog isPartOf "Lecture notes in mathematics ; 1606".
- catalog issued "1995".
- catalog issued "1995.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Smooth ergodic theory of random dynamical systems.".
- catalog subject "510 s 514/.74 20".
- catalog subject "Cell aggregation Mathematics.".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Distribution (Probability theory).".
- catalog subject "Ergodic theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1605 QA641.5".
- catalog subject "Random dynamical systems.".
- catalog subject "Statistical physics.".
- catalog subject "Stochastic differential equations.".
- catalog subject "Thermodynamics.".
- catalog tableOfContents "Ch. I. Entropy and Lyapunov Exponents of Random Diffeomorphisms -- Ch. II. Estimation of Entropy from Above Through Lyapunov Exponents -- Ch. III. Stable Invariant Manifolds of Random Diffeomorphisms -- Ch. IV. Estimation of Entropy from Below Through Lyapunov Exponents -- Ch. V. Stochastic Flows of Diffeomorphisms -- Ch. VI. Characterization of Measures Satisfying Entropy Formula -- Ch. VII. Random Perturbations of Hyperbolic Attractors -- Appendix. A Margulis-Ruelle Inequality for Random Dynamical Systems.".
- catalog title "Smooth ergodic theory of random dynamical systems / Pei-Dong Liu, Min Qian.".
- catalog type "text".