Ergodic Theory and Dynamical Systems

• Main Author: Coudène, Yves (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2016.
• Series: Universitext,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Dynamical Systems and Ergodic Theory.

This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics. This book contains a broad selection of topics and explores the fundamental ideas of the subject. Starting with basic notions such as...

Table of Contents:

• Introduction
• Part I Ergodic Theory
• The Mean Ergodic Theorem
• The Pointwise Ergodic Theorem
• Mixing
• The Hopf Argument
• Part II Dynamical Systems
• Topological Dynamics
• Nonwandering
• Conjugation
• Linearization
• A Strange Attractor
• Part III Entropy Theory
• Entropy
• Entropy and Information Theory
• Computing Entropy
• Part IV Ergodic Decomposition
• Lebesgue Spaces and Isomorphisms
• Ergodic Decomposition
• Measurable Partitions and -Algebras
• Part V Appendices
• Weak Convergence
• Conditional Expectation
• Topology and Measures
• References.