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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Typical Dynamics of Volume Preserving Homeomorphisms

Typical Dynamics of Volume Preserving Homeomorphisms

Alpern, Steve
Alpern, S. R.
Prasad, V. S.

Hardcover

Series: Cambridge Tracts in Mathematics, Book 139

Medical ReferenceGeneral MathematicsProbability & Statistics

ISBN10: 0521582873
ISBN13: 9780521582872
Publisher: Cambridge University Press
Published: Mar 29 2001
Pages: 240
Weight: 1.15
Height: 0.69 Width: 6.00 Depth: 9.00
Language: English
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.

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