Ergodic Dynamics : From Basic Theory to Applications /

This textbook provides a broad introduction to the fields of dynamical systems and ergodic theory. Motivated by examples throughout, the author offers readers an approachable entry-point to the dynamics of ergodic systems. Modern and classical applications complement the theory on topics ranging fro...

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Bibliographic Details
Main Author:	Hawkins, Jane (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2021.
Edition:	1st ed. 2021.
Series:	Graduate Texts in Mathematics, 289
Subjects:	Dynamics. Ergodic theory. Dynamical Systems and Ergodic Theory. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Preface
The simplest examples
Dynamical Properties of Measurable Transformations
Attractors in Dynamical Systems
Ergodic Theorems
Mixing Properties of Dynamical Systems
Shift Spaces
Perron-Frobenius Theorem and Some Applications
Invariant Measures
No equivalent invariant measures: Type III maps
Dynamics of Automorphisms of the Torus and Other Groups
An Introduction to Entropy
Complex Dynamics
Maximal Entropy Measures on Julia Sets and a Computer Algorithm
Cellular Automata
Appendix A. Measures on Topological Spaces
Appendix B. Integration and Hilbert Spaces
Appendix C. Connections to Probability Theory
Bibliography
Index.