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Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem (Cambridge Tracts in Mathematics, Series Number 185) by Anatole Katok, Viorel Niţică is a nonfiction available to read on EtoBox.
What is Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem (Cambridge Tracts in Mathematics, Series Number 185) about?
"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"-- "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 branche
Who reads Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem (Cambridge Tracts in Mathematics, Series Number 185)?
It is typically read by self-directed learners exploring a subject in depth.
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- Author
- Anatole Katok, Viorel Niţică
- Publisher
- Cambridge University Press (Virtual Publishing)
- Published
- 2011
- Language
- EN
- ISBN
- 9781139090889
- Category
- nonfiction
- Subjects
- Mathematics, Stem
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