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Ergodic Theory and Dynamical Systems
This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics. This book contains a broad selection of topics and explores the fundamental ideas of the subject. Starting with basic notions such as...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London :
Springer London : Imprint: Springer,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | Universitext,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Introduction
- Part I Ergodic Theory
- The Mean Ergodic Theorem
- The Pointwise Ergodic Theorem
- Mixing
- The Hopf Argument
- Part II Dynamical Systems
- Topological Dynamics
- Nonwandering
- Conjugation
- Linearization
- A Strange Attractor
- Part III Entropy Theory
- Entropy
- Entropy and Information Theory
- Computing Entropy
- Part IV Ergodic Decomposition
- Lebesgue Spaces and Isomorphisms
- Ergodic Decomposition
- Measurable Partitions and -Algebras
- Part V Appendices
- Weak Convergence
- Conditional Expectation
- Topology and Measures
- References.