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020 a| 9780521582872;

020 a| 0521582873 (Trade Cloth)c| USD 103.00 Retail Price (Publisher)9| Active Record;

024 3 a| 9780521582872;

035 a| (WaSeSS)ssj0000263326;

037 b| 00004933;

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049 a| EREEa| NEHH;

050 0 a| QA613.7 .A46 2000;

082 00 a| 5142| 21;

100 1 a| Alpern, Steved| 1948-e| Author?| UNAUTHORIZED;

245 10 a| Typical Dynamics of Volume-Preserving Homeomorphismsh| [electronic resource];

260 a| New York : b| Cambridge University Press;

300 a| 236 p.b| illc| 22.800 x 015.200 cm.;

440 0 a| Cambridge Tracts in Mathematics Ser.v| Vol. 139;

506 a| Available only to authorized users.;

520 8 a| Annotationb| 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.;

538 a| Mode of access: World Wide Web;

650 4 a| Ergodic Theory;

650 4 a| Differentiable Dynamical Systems;

650 4 a| Geometry;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Prasad, V. S.d| 1950-e| Author?| UNAUTHORIZED;

700 1 a| Bollobas, B.e| Contribution by4| oth?| UNAUTHORIZED;

700 1 a| Fulton, W.e| Contribution by4| oth?| UNAUTHORIZED;

700 1 a| Katok, A.e| Contribution by4| oth?| UNAUTHORIZED;

700 1 a| Kirwan, F.e| Contribution by4| oth?| UNAUTHORIZED;

700 1 a| Sarnak, P.e| Contribution by4| oth?| UNAUTHORIZED;

700 1 a| Simon, B.e| Contribution by4| oth?| UNAUTHORIZED;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=201832;

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Typical Dynamics of Volume-Preserving Homeomorphisms

Author/creator	Alpern, Steve, 1948- Author
Format	Electronic
Publication Info	New York : Cambridge University Press
Description	236 p. ill 22.800 x 015.200 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Ergodic Theory Differentiable Dynamical Systems Geometry

Other author/creator	Prasad, V. S. 1950- Author
Other author/creator	Bollobas, B. Contribution by
Other author/creator	Fulton, W. Contribution by
Other author/creator	Katok, A. Contribution by
Other author/creator	Kirwan, F. Contribution by
Other author/creator	Sarnak, P. Contribution by
Other author/creator	Simon, B. Contribution by
Series	Cambridge Tracts in Mathematics Ser. Vol. 139
Summary	Annotation 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.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	00031258
ISBN	9780521582872
ISBN	0521582873 (Trade Cloth) Active Record
Standard identifier#	9780521582872
Stock number	00004933

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Typical Dynamics of Volume-Preserving Homeomorphisms

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