03091nam 22006732 450 991046114260332120160523152217.01-107-21888-81-283-12735-01-139-09229-497866131273580-511-80355-91-139-09178-61-139-08998-61-139-09088-71-139-09280-4(CKB)2670000000094846(EBL)713038(OCoLC)735595627(SSID)ssj0000525384(PQKBManifestationID)11327050(PQKBTitleCode)TC0000525384(PQKBWorkID)10507211(PQKB)10613068(UkCbUP)CR9780511803550(MiAaPQ)EBC713038(Au-PeEL)EBL713038(CaPaEBR)ebr10476534(CaONFJC)MIL312735(EXLCZ)99267000000009484620101018d2011|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierRigidity in higher rank Abelian group actionsVolume 1Introduction and cocycle problem /Anatole Katok, Viorel Niţică[electronic resource]Cambridge :Cambridge University Press,2011.1 online resource (vi, 313 pages) digital, PDF file(s)Cambridge tracts in mathematics ;185Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-87909-4 Includes bibliographical references and index.pt. 1. Preliminaries from dynamics and analysis -- pt. 2. Cocycles, cohomology, and rigidity.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.Cambridge tracts in mathematics ;185.Rigidity (Geometry)Abelian groupsRigidity (Geometry)Abelian groups.512/.25Katok A. B.22857Niţică ViorelUkCbUPUkCbUPBOOK9910461142603321Rigidity in higher rank Abelian group actions2463932UNINA