5 (Positively) expansive maps

Chapters in this book

1. Frontmatter I
2. Preface VII
3. List of Figures IX
4. Introduction to Volume 1 XI
5. Contents XVII
6. 1 Dynamical systems 1
7. 2 Homeomorphisms of the circle 37
8. 3 Symbolic dynamics 67
9. 4 Distance expanding maps 97
10. 5 (Positively) expansive maps 139
11. 6 Shub expanding endomorphisms 151
12. 7 Topological entropy 177
13. 8 Ergodic theory 205
14. 9 Measure-theoretic entropy 275
15. 10 Infinite invariant measures 317
16. 11 Topological pressure 349
17. 12 The variational principle and equilibrium states 371
18. Appendix A. A selection of classical results 387
19. Bibliography 419
20. Index 423