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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Bibliographic Information

Book Title: Smooth Ergodic Theory of Random Dynamical Systems
Authors: Pei-Dong Liu, Min Qian
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0094308
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1995
Softcover ISBN: 978-3-540-60004-6Published: 14 August 1995
eBook ISBN: 978-3-540-49291-7Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 228
Topics: Manifolds and Cell Complexes (incl. Diff.Topology), Probability Theory and Stochastic Processes, Complex Systems, Thermodynamics, Statistical Physics and Dynamical Systems

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Table of contents (8 chapters)

Front Matter

Back Matter

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