Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem (9780521879095)

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.

Product details

• Format Hardback | 320 pages
• Dimensions 157 x 235 x 19mm | 580g
• Publication date 25 Jul 2011
• Publisher CAMBRIDGE UNIVERSITY PRESS
• Publication City/Country Cambridge, United Kingdom
• Language English
• Illustrations note Worked examples or Exercises; 3 Line drawings, unspecified
• ISBN10 0521879094
• ISBN13 9780521879095

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