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Smooth Ergodic Theory of Random Dynamical Systems

  • Authors
  • Pei-Dong Liu
  • Min Qian

Part of the Lecture Notes in Mathematics book series (LNM, volume 1606)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Pei-Dong Liu, Min Qian
    Pages 1-21
  3. Pei-Dong Liu, Min Qian
    Pages 55-90
  4. Pei-Dong Liu, Min Qian
    Pages 109-127
  5. Pei-Dong Liu, Min Qian
    Pages 128-181
  6. Pei-Dong Liu, Min Qian
    Pages 182-206
  7. Back Matter
    Pages 207-221

About this book

Introduction

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.

Keywords

Ergodic theory diffeomorphism differential geometry manifold measure measure theory random dynamical system

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0094308
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-60004-6
  • Online ISBN 978-3-540-49291-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site