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Rigidity in Higher Rank Abelian Group Actions, Volume 1 : Introduction and Cocycle Problem.
Ideal for researchers in all aspects of dynamical systems and a useful introduction for graduate students entering the field.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Leiden :
Cambridge University Press,
2011.
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| Colección: | Cambridge Tracts in Mathematics, 185.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-title; Series-title; Title; Copyright; Contents; Introduction: an overview; 1. Rigidity in dynamics; 2. Limited extent of rigidity in traditional dynamics; 3. Rigidity for actions of higher rank abelian groups; 4. Mechanisms of rigidity; 5. Measure rigidity; 6. Contrast and similarities with actions of "large" groups; 7. Background, references, and other sources; Acknowledgements; Part I: Preliminaries from dynamics and analysis; 1 Definitions and general properties of abelian group actions; 2 Principal classes of algebraic actions; 3 Preparatory results from analysis.
- Part II: Cocycles, cohomology, and rigidity4 First cohomology and rigidity for vector-valued cocycles; 5 First cohomology and rigidity for general cocycles; 6 Higher order cohomology; References; Index.