Statistical Properties of Deterministic Systems

  • Jiu Ding
  • Aihui Zhou

Part of the Tsinghua University Texts book series (TUPT)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Jiu Ding, Aihui Zhou
    Pages 1-14
  3. Jiu Ding, Aihui Zhou
    Pages 15-35
  4. Jiu Ding, Aihui Zhou
    Pages 36-61
  5. Jiu Ding, Aihui Zhou
    Pages 62-91
  6. Jiu Ding, Aihui Zhou
    Pages 92-114
  7. Jiu Ding, Aihui Zhou
    Pages 115-143
  8. Jiu Ding, Aihui Zhou
    Pages 144-171
  9. Jiu Ding, Aihui Zhou
    Pages 172-195
  10. Jiu Ding, Aihui Zhou
    Pages 196-220
  11. Back Matter
    Pages 221-236

About this book

Introduction

Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system.

The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering.

Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.

Keywords

Approximation Chaos Dynamical system Ergodic theory Ergodic theory, Frobenius-Perron operators Error estimates Invariant measures Markov operators Piecewise linear Markov finite approximations Stationary d functional analysis numerical analysis

Authors and affiliations

  • Jiu Ding
    • 1
  • Aihui Zhou
    • 2
  1. 1.Department of MathematicsThe University of Southern MississipiHattiesburgUSA
  2. 2.LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-85367-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-85366-4
  • Online ISBN 978-3-540-85367-1
  • Series Print ISSN 1993-0305
  • About this book
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