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Rigidity in higher rank Abelian grou...

Katok, A. B.

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Rigidity in higher rank Abelian group actions /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Rigidity in higher rank Abelian group actions // Anatole Katok, Viorel Niţică.
作者:	Katok, A. B.
其他作者:	Ni籟ic�, Viorel.
出版者:	Cambridge, UK ;Cambridge University Press, : 2011-,
面頁冊數:	v. :ill. ;24 cm.
附註:	v. 1. Introduction and cocycle problem
標題:	Abelian groups. -
電子資源:	http://assets.cambridge.org/97805218/79095/cover/9780521879095.jpg
ISBN:	0521879094 (hbk.: v.1) :

Rigidity in higher rank Abelian group actions /
Katok, A. B.

Rigidity in higher rank Abelian group actions /Anatole Katok, Viorel Niţică. - Cambridge, UK ;Cambridge University Press,2011- - v. :ill. ;24 cm. - Cambridge tracts in mathematics ;185-. - Cambridge tracts in mathematics ;177..

v. 1. Introduction and cocycle problem

Includes bibliographical references and indexes.

"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"--

ISBN: 0521879094 (hbk.: v.1) :US85.00

LCCN: 2011006030Subjects--Topical Terms:

641259
Abelian groups.

LC Class. No.: QA640.77 / .K38 2011

Dewey Class. No.: 512/.25

Rigidity in higher rank Abelian group actions /
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050 0 0 $a QA640.77 $b .K38 2011
082 0 0 $a 512/.25 $2 22
100 1 $a Katok, A. B. $3 578743
245 1 0 $a Rigidity in higher rank Abelian group actions / $c Anatole Katok, Viorel Niţică.
260 # $a Cambridge, UK ; $a New York : $b Cambridge University Press, $c 2011-
300 $a v. : $b ill. ; $c 24 cm.
490 1 0 $a Cambridge tracts in mathematics ; $v 185-
500 $a v. 1. Introduction and cocycle problem
504 $a Includes bibliographical references and indexes.
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"-- $c Provided by publisher.
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"-- $c Provided by publisher.
650 # 0 $a Abelian groups. $3 641259
650 # 0 $a Rigidity (Geometry) $3 1324970
700 1 # $a Ni籟ic�, Viorel. $3 1324969
830 0 $a Cambridge tracts in mathematics ; $v 177. $3 1232911
856 4 2 $3 Cover image $u http://assets.cambridge.org/97805218/79095/cover/9780521879095.jpg