Statistical Properties of Deterministic Systems

• Main Authors: Ding, Jiu. (Author), Zhou, Aihui. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Tsinghua University Texts,
• Subjects: Mathematics.; Operator theory.; Computer science > Mathematics.; Numerical analysis.; Applications of Mathematics.; Numerical Analysis.; Operator Theory.; Computational Mathematics and Numerical Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-85367-1

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...

Table of 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.