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＜電子ブック＞
Smooth Ergodic Theory of Random Dynamical Systems / by Pei-Dong Liu, Min Qian
(Lecture Notes in Mathematics. ISSN:16179692 ; 1606)

版	1st ed. 1995.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1995
本文言語	英語
大きさ	XII, 228 p : online resource
冊子体	Smooth ergodic theory of random dynamical systems / Pei-Dong Liu, Min Qian. ; 1606
著者標目	*Liu, Pei-Dong author Qian, Min author SpringerLink (Online service)
件　名	LCSH:Manifolds (Mathematics) LCSH:Probabilities LCSH:System theory LCSH:Thermodynamics LCSH:Mathematical physics FREE:Manifolds and Cell Complexes FREE:Probability Theory FREE:Complex Systems FREE:Thermodynamics FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/BFb0094308

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