ENGLISH

Smooth Ergodic Theory of Random Dynamical Systems

By Pei-Dong Liu , Min Qian (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1995
ISBN
3540600043, 9783540600046, 0387600043
DOI
10.1007/BFb0094308
LCC
QA3,QA641.5
Open Library ID
OL21843175M
Language
english
Format
DJVU
Filesize
1 MB (1364949 bytes)
Series
Lecture Notes in Mathematics 1606
Edition
1
Pages
228\237
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Manifolds and Cell Complexes (incl. Diff.Topology)

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.

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