Items related to Rigidity in Higher Rank Abelian Group Actions: Volume...

Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem (Cambridge Tracts in Mathematics): 185 (Cambridge Tracts in Mathematics, Series Number 185) - Hardcover

Anatole Katok, Viorel Nitica

 
9780521879095: Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem (Cambridge Tracts in Mathematics): 185 (Cambridge Tracts in Mathematics, Series Number 185)

Synopsis

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.

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About the Authors

Anatole Katok is Raymond N. Shibley Professor of Mathematics at Pennsylvania State University.

Viorel Nitica is Professor of Mathematics at West Chester University, Pennsylvania.

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