Rigidity in Higher Rank Abelian Group Actions
Volume 1. Introduction and Cocycle Problem
£111.00
Part of Cambridge Tracts in Mathematics
- Authors:
- Anatole Katok, Pennsylvania State University
- Viorel Niţică, West Chester University, Pennsylvania
- Date Published: June 2011
- availability: Available
- format: Hardback
- isbn: 9780521879095
£
111.00
Hardback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
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.
Read more- Builds a bridge between classical and emerging theory and emphasizes the new phenomena that appear
- Includes a chapter providing preparatory results in analysis
- Contains a large collection of examples of higher rank Anosov and partially hyperbolic actions
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: June 2011
- format: Hardback
- isbn: 9780521879095
- length: 320 pages
- dimensions: 235 x 157 x 19 mm
- weight: 0.58kg
- contains: 3 b/w illus.
- availability: Available
Table of Contents
Introduction: an overview
Part I. Preliminaries from Dynamics and Analysis:
1. Definitions and properties of abelian group actions
2. Principal classes of algebraic actions
3. Preparatory results from analysis
Part II. Cocycles, Cohomology and Rigidity:
4. First cohomology and rigidity for vector-valued cocycles
5. First cohomology and rigidity for general cocycles
6. Higher order cohomology
References
Index.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×