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portada Typical Dynamics of Volume Preserving Homeomorphisms Paperback (Cambridge Tracts in Mathematics)
Type
Physical Book
Publisher
Author
Year
2011
Language
English
Pages
238
Format
Paperback
Weight
0.80
ISBN13
9780521172431
Edition No.
1
Categories

Typical Dynamics of Volume Preserving Homeomorphisms Paperback (Cambridge Tracts in Mathematics)

Alpern; Prasad (Author) · Cambridge University Press · Paperback

Typical Dynamics of Volume Preserving Homeomorphisms Paperback (Cambridge Tracts in Mathematics) - Alpern; Prasad

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Synopsis "Typical Dynamics of Volume Preserving Homeomorphisms Paperback (Cambridge Tracts in Mathematics) "

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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