Non-Invertible Dynamical Systems. Ergodic Theory – Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps / / Mariusz Urbański, Mario Roy, Sara Munday.
The book contains a detailed treatment of thermodynamic formalism on general compact metrizable spaces. Topological pressure, topological entropy, variational principle, and equilibrium states are presented in detail. Abstract ergodic theory is also given a significant attention. Ergodic theorems, e...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2021] ©2022 |
| Year of Publication: | 2021 |
| Language: | English |
| Series: | De Gruyter Expositions in Mathematics ,
69/1 |
| Online Access: | |
| Physical Description: | 1 online resource (XXVIII, 430 p.) |
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Table of Contents:
- Frontmatter
- Preface
- List of Figures
- Introduction to Volume 1
- Contents
- 1 Dynamical systems
- 2 Homeomorphisms of the circle
- 3 Symbolic dynamics
- 4 Distance expanding maps
- 5 (Positively) expansive maps
- 6 Shub expanding endomorphisms
- 7 Topological entropy
- 8 Ergodic theory
- 9 Measure-theoretic entropy
- 10 Infinite invariant measures
- 11 Topological pressure
- 12 The variational principle and equilibrium states
- Appendix A. A selection of classical results
- Bibliography
- Index