Statistical Properties of Deterministic Systems

• Main Authors: Ding, Jiu (Author), Zhou, Aihui (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Tsinghua University Texts,
• Subjects: Mathematics.; Operator theory.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Numerical analysis.; Applications of Mathematics.; Numerical Analysis.; Operator Theory.; Computational Mathematics and Numerical Analysis.

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:

• Foundations of Measure Theory
• Rudiments of Ergodic Theory
• Frobenius-Perron Operators
• Invariant Measures—Existence
• Invariant Measures—Computation
• Convergence Rate Analysis
• Entropy
• Applications of Invariant Measures.