Description 
1 online resource (vi, 236 pages) : illustrations 
Series 
Tsinghua University texts, 19930305 

Tsinghua University texts.

Contents 
Preface  1. Introduction  2. Foundations of Measure Theory  3. Rudiments of Ergodic Theory  4. FrobeniusPerron 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 FrobeniusPerron 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 221227) 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) 

3540853677 

9781283251419 

9783540853664 (print) 

9783540853671 
