ENGLISH

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

By Anatole Katok , Viorel Nitica

Book information

Publisher
Cambridge University Press
Year
2011
ISBN
0521879094, 9780521879095
LCC
QA640.77 .K38 2011
Language
english
Format
PDF
Filesize
2 MB (1912142 bytes)
Series
Cambridge Tracts in Mathematics
Pages
321\321
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00

Description

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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