MARC Record from Library of Congress

LEADER: 02640cam a22003254a 4500
001 2011006030
003 DLC
005 20110926202417.0
008 110211m20119999enk 000 0 eng
010 $a 2011006030
020 $a9780521879095 (hardback : v. 1)
020 $a0521879094 (hardback)
035 $a(OCoLC)ocn707626606
040 $aDLC$cDLC$dYDX$dCDX$dYDXCP$dBWX$dBTCTA$dDLC
042 $apcc
050 00 $aQA640.77$b.K38 2011
082 00 $a512/.25$222
100 1 $aKatok, A. B.
245 10 $aRigidity in higher rank Abelian group actions /$cAnatole Katok, Viorel Nițica︣.
260 $aCambridge, UK ;$aNew York :$bCambridge University Press,$c2011-
300 $a1 v. ;$c24 cm.
490 1 $aCambridge tracts in mathematics ;$v185-
520 $a"This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal methods presently used in various aspects of the rigidity theory. Part I serves as an exposition and preparation, including a large collection of examples that are difficult to find in the existing literature. Part II focuses on cocycle rigidity, which serves as a model for rigidity phenomena as well as a useful tool for studying them. The book is an ideal reference for applied mathematicians and scientists working in dynamical systems and a useful introduction for graduate students interested in entering the field. Its wealth of examples also makes it excellent supplementary reading for any introductory course in dynamical systems"--$cProvided by publisher.
520 $a"In a very general sense modern theory of smooth dynamical systems deals with smooth actions of "sufficiently large but not too large" groups or semigroups (usually locally compact but not compact) on a "sufficiently small" phase space (usually compact, or, sometimes, finite volume manifolds). Important branches of dynamics specifically consider actions preserving a geometric structure with an infinite-dimensional group of automorphisms, two principal examples being a volume and a symplectic structure. The natural equivalence relation for actions is differentiable (corr. volume preserving or symplectic) conjugacy"--$cProvided by publisher.
500 $av. 1. Introduction and cocycle problem
650 0 $aRigidity (Geometry)
650 0 $aAbelian groups.
700 1 $aNițica, Viorel.
830 0 $aCambridge tracts in mathematics ;$v185-
856 42 $3Cover image$uhttp://assets.cambridge.org/97805218/79095/cover/9780521879095.jpg