Typical dynamics of volume preserving homeomorphisms / (Record no. 518321)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03168nam a22003858i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511543180 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160239.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090505s2000||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511543180 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521582872 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521172431 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA613.7 |
| Item number | .A46 2000 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514 |
| Edition number | 21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Alpern, Steve, |
| Dates associated with a name | 1948- |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Typical dynamics of volume preserving homeomorphisms / |
| Statement of responsibility, etc | Steve Alpern, V.S. Prasad. |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2000. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xix, 216 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | Cambridge tracts in mathematics ; |
| Volume number/sequential designation | 139 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Volume preserving homeomorphisms of the cube -- |
| -- | Introduction to part 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, delta] and generic properties in M[In, delta] -- |
| -- | Measure preserving homeomorphisms of a compact manifold -- |
| -- | Measures on compact manifolds -- |
| -- | Dynamics on compact manifolds -- |
| -- | Oeasure preserving homeomorphisms of a noncompact manifold -- |
| -- | Ergodic volume preserving homeomorphisms of Rn -- |
| -- | Manifolds where ergodicity is not generic -- |
| -- | Noncompact manifolds and ends -- |
| -- | Ergodic homeomorphisms: the results -- |
| -- | Ergodic homeomorphisms: proofs -- |
| -- | Other properties typical in M[X, u]. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Homeomorphisms. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Measure-preserving transformations. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Prasad, V. S., |
| Dates associated with a name | 1950- |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521582872 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Cambridge tracts in mathematics ; |
| Volume number/sequential designation | 139. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511543180">https://doi.org/10.1017/CBO9780511543180</a> |
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