This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not
Topological Dynamical Systems
โ Scribed by Jan Vries
- Publisher
- De Gruyter
- Year
- 2014
- Tongue
- English
- Leaves
- 515
- Series
- de Gruyter Studies in Mathematics, 59
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Cover
Colophon
Preface
Notation
Table of Contents
Chapter 0: Introduction
Chapter 1: Basic notions
Chapter 2: Dynamical systems on the real line
Chapter 3: Limit behaviour
Chapter 4: Recurrent behaviour
Chapter 5: Shift systems
Chapter 6: Symbolic representations
Chapter 7: Erratic behaviour
Chapter 8: Topological entropy
Appendix A: Topolpgy
Appendix B: The Cantor set
Appendix C: Hints to the Exercises
Literature
Index
๐ SIMILAR VOLUMES
This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not
<p><p>Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and