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Typical Dynamics of Volume Preserving Homeomorphisms

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ISBN-10: 0521172438

ISBN-13: 9780521172431

Edition: 2010

Authors: Steve Alpern, V. S. Prasad

List price: $36.95
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Book details

List price: $36.95
Copyright year: 2010
Publisher: Cambridge University Press
Publication date: 2/17/2011
Binding: Paperback
Pages: 238
Size: 5.98" wide x 9.02" long x 0.55" tall
Weight: 0.770
Language: English

Historical Preface
General outline
Volume Preserving Homomorphisms of the Cube
Introduction to Parts I and II (compact manifolds)
Measure preserving homeomorphisms
Discrete approximations
Transitive homeomorphisms of In and Rn
Fixed points and area preservation
Measure preserving Lusin theorem
Ergodic homeomorphisms
Uniform approximation in G[In, �”] and generic properties in Σ[In, �”]
Measure Preserving Homeomorphisms of a Compact Manifold
Measures on compact manifolds
Dynamics on compact manifolds
Measure Preserving Homeomorphisms of a Noncompact Manifold
Introduction to Part III
Ergodic volume preserving homeomorphisms of Rn
Manifolds where ergodic is not generic
Noncompact manifolds and ends
Ergodic homeomorphisms: the results
Ergodic homeomorphisms: proof
Other properties typical in M[X, μ]
Multiple Rokhlin towers and conjugacy approximation
Homeomorphic measures
Bibliography
Index