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Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem

Anatole Katok author Viorel Niţică author

Format:Hardback

Publisher:Cambridge University Press

Published:16th Jun '11

Currently unavailable, and unfortunately no date known when it will be back

Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem cover

Ideal for researchers in all aspects of dynamical systems and a useful introduction for graduate students entering the field.

This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. An ideal reference for applied mathematicians and scientists working in dynamical systems. It is also a useful introduction for graduate students entering the field.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.

"This very welcome addition to the literature is the first book-length introduction to the rigidity of higher rand abelian group actions." David Michael Fisher for Mathematical Reviews

ISBN: 9780521879095

Dimensions: 235mm x 157mm x 19mm

Weight: 580g

320 pages