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Record Nr. |
UNINA9910461142603321 |
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Autore |
Katok A. B. |
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Titolo |
Rigidity in higher rank Abelian group actions . Volume 1 Introduction and cocycle problem / / Anatole Katok, Viorel Niţică [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2011 |
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ISBN |
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1-107-21888-8 |
1-283-12735-0 |
1-139-09229-4 |
9786613127358 |
0-511-80355-9 |
1-139-09178-6 |
1-139-08998-6 |
1-139-09088-7 |
1-139-09280-4 |
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Descrizione fisica |
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1 online resource (vi, 313 pages) : digital, PDF file(s) |
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Collana |
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Cambridge tracts in mathematics ; ; 185 |
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Disciplina |
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Soggetti |
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Rigidity (Geometry) |
Abelian groups |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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pt. 1. Preliminaries from dynamics and analysis -- pt. 2. Cocycles, cohomology, and rigidity. |
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Sommario/riassunto |
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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 |
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