Ergodic dynamics: from basic theory to applications

Ergodic dynamics: from basic theory to applications / Jane Hawkins.

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, 1954-
Format: Book
Language:English
Published: Cham : Springer International Publishing AG, [2021]
Series:Graduate texts in mathematics ; 289.
Subjects:
Differentiable dynamical systems.
Ergodic theory.
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.

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