Typical Dynamics of Volume Preserving Homeomorphisms
(Book #139 in the Cambridge Tracts in Mathematics Series)
No Customer Reviews
Select Format
Select Condition 
Book Overview
This 2000 book provides a self-contained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. The authors make the first part of this book very concrete by considering volume preserving homeomorphisms of the unit n-dimensional cube, and they go on to prove fixed point theorems (Conley-Zehnder- Franks). This is done in a number of short self-contained chapters which would be suitable for an undergraduate analysis seminar or a graduate lecture course. Much of this work describes the work of the two authors, over the last twenty years, in extending to different settings and properties, the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property.
Format:Hardcover
Language:English
ISBN:0521582873
ISBN13:9780521582872
Release Date:May 2001
Publisher:Cambridge University Press
Length:240 Pages
Weight:1.15 lbs.
Dimensions:0.7" x 6.0" x 9.0"
Related Subjects
General Geometry Math Mathematics Medical Medical Books Medicine Science & Math StatisticsCustomer Reviews
0 rating
Copyright © 2025 Thriftbooks.com
Terms of Use | Privacy Policy | Do Not Sell/Share My Personal Information | Cookie Policy | Cookie Preferences | Accessibility Statement
ThriftBooks ® and the ThriftBooks ® logo are registered trademarks of Thrift Books Global, LLC
ThriftBooks ® and the ThriftBooks ® logo are registered trademarks of Thrift Books Global, LLC
