Smooth ergodic theory of random dynamical systems /

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Bibliographic Details
Author / Creator:Liu, Pei-Dong, 1964-
Imprint:Berlin ; New York : Springer, ©1995.
Description:1 online resource (xi, 221 pages).
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1606
Lecture notes in mathematics (Springer-Verlag) ; 1606.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11071338
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Other authors / contributors:Qian, Min, 1927-
ISBN:9783540492917
3540492917
9780387600048
0387600043
9783540600046
3540600043
Notes:Includes bibliographical references (pages 216-218) and index.
Restrictions unspecified
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Print version record.
Summary: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.
Other form:Print version: Liu, Pei-Dong, 1964- Smooth ergodic theory of random dynamical systems. Berlin ; New York : Springer, ©1995 3540600043