Free PDF Typical Dynamics of Volume Preserving Homeomorphisms (Cambridge Tracts in Mathematics), by Steve Alpern, V. S. Prasad
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Typical Dynamics of Volume Preserving Homeomorphisms (Cambridge Tracts in Mathematics), by Steve Alpern, V. S. Prasad
Free PDF Typical Dynamics of Volume Preserving Homeomorphisms (Cambridge Tracts in Mathematics), by Steve Alpern, V. S. Prasad
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This book provides a self-contained introduction to typical properties of volume preserving homeomorphisms, examples of which include transitivity, chaos and ergodicity. The authors make the first part of the book very concrete by focusing on volume preserving homeomorphisms of the unit n-dimensional cube. They also prove fixed point theorems (Conley-Zehnder-Franks). This is done in a number of short self-contained chapters that would be suitable for an undergraduate analysis seminar or a graduate lecture course. Parts Two and Three consider compact manifolds and sigma compact manifolds respectively, describing the work of the two authors in extending the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property.
- Sales Rank: #4649521 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2001-05-07
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .67" w x 5.98" l, 1.15 pounds
- Binding: Hardcover
- 240 pages
- Used Book in Good Condition
Review
Review of the hardback: 'An interesting piece of research for the specialist.' Mathematika
Review of the hardback: 'The authors of this book are undoubtedly the experts of generic properties of measure preserving homeomorphisms of compact and locally compact manifolds, continuing and extending ground-breaking early work by J. C. Oxtoby and S. M. Ulam. The book is very well and carefully written and is an invaluable reference for anybody working on the interface between topological dymanics and ergodic theory.' Monatshefte für Mathematik
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