This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der Waerden's theorem and Szemerdi's theorem).Read more
- Few other books on this subject
- Perfect for a master's course
- Authors are well known in this area
Reviews & endorsements
' … the volume achieves its goals well. It covers a broad range of topics clearly and succinctly … There is much material here to interest and stimulate the reader … I thoroughly recommend it to anyone of has some knowledge of the subject matter and wants a concise and well presented reference for more advanced concepts.' UK Non-Linear News
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: January 1998
- format: Paperback
- isbn: 9780521575997
- length: 196 pages
- dimensions: 228 x 151 x 13 mm
- weight: 0.275kg
- availability: Available
Table of Contents
Introduction and preliminaries
Part I. Topological Dynamics:
1. Examples and basic properties
2. An application of recurrence to arithmetic progressions
3. Topological entropy
4. Interval maps
5. Hyperbolic toral automorphisms
6. Rotation numbers
Part II. Measurable Dynamics:
7. Invariant measures
8. Measure theoretic entropy
9. Ergodic measures
10. Ergodic theorems
12. Statistical properties
Part III. Supplementary Chapters:
13. Fixed points for the annulus
14. Variational principle
15. Invariant measures for commuting transformations
16. An application of ergodic theory to arithmetic progressions.
Find resources associated with this titleYour search for '' returned .
Type Name Unlocked * Format Size
This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.
Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.
Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.
If you are having problems accessing these resources please contact firstname.lastname@example.org.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
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.×