LEADER 03091nam 22006732 450 001 9910461142603321 005 20160523152217.0 010 $a1-107-21888-8 010 $a1-283-12735-0 010 $a1-139-09229-4 010 $a9786613127358 010 $a0-511-80355-9 010 $a1-139-09178-6 010 $a1-139-08998-6 010 $a1-139-09088-7 010 $a1-139-09280-4 035 $a(CKB)2670000000094846 035 $a(EBL)713038 035 $a(OCoLC)735595627 035 $a(SSID)ssj0000525384 035 $a(PQKBManifestationID)11327050 035 $a(PQKBTitleCode)TC0000525384 035 $a(PQKBWorkID)10507211 035 $a(PQKB)10613068 035 $a(UkCbUP)CR9780511803550 035 $a(MiAaPQ)EBC713038 035 $a(Au-PeEL)EBL713038 035 $a(CaPaEBR)ebr10476534 035 $a(CaONFJC)MIL312735 035 $a(EXLCZ)992670000000094846 100 $a20101018d2011|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRigidity in higher rank Abelian group actions$hVolume 1$iIntroduction and cocycle problem /$fAnatole Katok, Viorel Nit?ica?$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2011. 215 $a1 online resource (vi, 313 pages) $cdigital, PDF file(s) 225 1 $aCambridge tracts in mathematics ;$v185 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-87909-4 320 $aIncludes bibliographical references and index. 327 $apt. 1. Preliminaries from dynamics and analysis -- pt. 2. Cocycles, cohomology, and rigidity. 330 $aThis self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal methods presently used in various aspects of the rigidity theory. Part I serves as an exposition and preparation, including a large collection of examples that are difficult to find in the existing literature. Part II focuses on cocycle rigidity, which serves as a model for rigidity phenomena as well as a useful tool for studying them. The book is an ideal reference for applied mathematicians and scientists working in dynamical systems and a useful introduction for graduate students interested in entering the field. Its wealth of examples also makes it excellent supplementary reading for any introductory course in dynamical systems. 410 0$aCambridge tracts in mathematics ;$v185. 606 $aRigidity (Geometry) 606 $aAbelian groups 615 0$aRigidity (Geometry) 615 0$aAbelian groups. 676 $a512/.25 700 $aKatok$b A. B.$022857 702 $aNit?ica?$b Viorel 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910461142603321 996 $aRigidity in higher rank Abelian group actions$92463932 997 $aUNINA