Rigidity in higher rank Abelian group actions: Volume 1 Introduction and cocycle problem
This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal methods presently used in various aspects of the rigidit...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
|
| Schriftenreihe: | Cambridge tracts in mathematics
185 |
| Links: | https://doi.org/10.1017/CBO9780511803550 |
| Zusammenfassung: | This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal methods presently used in various aspects of the rigidity theory. Part I serves as an exposition and preparation, including a large collection of examples that are difficult to find in the existing literature. Part II focuses on cocycle rigidity, which serves as a model for rigidity phenomena as well as a useful tool for studying them. The book is an ideal reference for applied mathematicians and scientists working in dynamical systems and a useful introduction for graduate students interested in entering the field. Its wealth of examples also makes it excellent supplementary reading for any introductory course in dynamical systems. |
| Umfang: | 1 Online-Ressource (vi, 313 Seiten) |
| ISBN: | 9780511803550 |
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| spelling | Katok, A. B. Rigidity in higher rank Abelian group actions Volume 1 Introduction and cocycle problem Anatole Katok, Viorel Niţică Cambridge Cambridge University Press 2011 1 Online-Ressource (vi, 313 Seiten) txt c cr Cambridge tracts in mathematics 185 This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal methods presently used in various aspects of the rigidity theory. Part I serves as an exposition and preparation, including a large collection of examples that are difficult to find in the existing literature. Part II focuses on cocycle rigidity, which serves as a model for rigidity phenomena as well as a useful tool for studying them. The book is an ideal reference for applied mathematicians and scientists working in dynamical systems and a useful introduction for graduate students interested in entering the field. Its wealth of examples also makes it excellent supplementary reading for any introductory course in dynamical systems. Niţică, Viorel Erscheint auch als Druck-Ausgabe 9780521879095 |
| spellingShingle | Katok, A. B. Rigidity in higher rank Abelian group actions |
| title | Rigidity in higher rank Abelian group actions |
| title_auth | Rigidity in higher rank Abelian group actions |
| title_exact_search | Rigidity in higher rank Abelian group actions |
| title_full | Rigidity in higher rank Abelian group actions Volume 1 Introduction and cocycle problem Anatole Katok, Viorel Niţică |
| title_fullStr | Rigidity in higher rank Abelian group actions Volume 1 Introduction and cocycle problem Anatole Katok, Viorel Niţică |
| title_full_unstemmed | Rigidity in higher rank Abelian group actions Volume 1 Introduction and cocycle problem Anatole Katok, Viorel Niţică |
| title_short | Rigidity in higher rank Abelian group actions |
| title_sort | rigidity in higher rank abelian group actions introduction and cocycle problem |
| work_keys_str_mv | AT katokab rigidityinhigherrankabeliangroupactionsvolume1 AT niticaviorel rigidityinhigherrankabeliangroupactionsvolume1 |