Book Cover
Author Ding, Jiu.

Title Statistical properties of deterministic systems / Jiu Ding, Aihui Zhou
Published Berlin ; London : Springer ; Beijing : Tsinghua University Press, [2009]
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Description 1 online resource (vi, 236 pages) : illustrations
Series Tsinghua University texts, 1993-0305
Tsinghua University texts.
Contents Preface -- 1. Introduction -- 2. Foundations of Measure Theory -- 3. Rudiments of Ergodic Theory -- 4. Frobenius-Perron Operators -- 5. Absolutely Continuous Invariant Measures -- Existence -- 6. Absolutely Continuous Invariant Measures- Computation -- 7. Convergence Rate Analysis -- 8. Entropy -- 9. Applications of Invariant Measures
Summary 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
Bibliography Includes bibliographical references (pages 221-227) and index
Notes Print version record
Subject Differentiable dynamical systems -- Statistical methods.
Differentiable dynamical systems -- Computer simulation.
Deterministic chaos.
Form Electronic book
Author Zhou, Aihui.
ISBN 1283251418
3540853669 (print)
9783540853664 (print)