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An ergodic IP polynomial Szemerédi theorem /
Proves a polynomial multiple recurrence theorem for finitely, many commuting, measure-preserving transformations of a probability space, extending a polynomial Szemeredi theorem. Several applications to the structure of recurrence in ergodic theory are given, some of which involve weakly mixing syst...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©2000.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 695. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Bergelson, V. |q (Vitaly), |d 1950- |1 https://id.oclc.org/worldcat/entity/E39PBJbCGWbqkqdWk3MBq4PqQq | |
| 245 | 1 | 3 | |a An ergodic IP polynomial Szemerédi theorem / |c Vitaly Bergelson, Randall McCutcheon. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c ©2000. | ||
| 300 | |a 1 online resource (viii, 106 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 695 | |
| 500 | |a "July 2000, volume 146, number 695 (fourth of 5 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 103-104) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a Proves a polynomial multiple recurrence theorem for finitely, many commuting, measure-preserving transformations of a probability space, extending a polynomial Szemeredi theorem. Several applications to the structure of recurrence in ergodic theory are given, some of which involve weakly mixing systems, for which the authors also prove a multiparameter weakly mixing polynomial ergodic theorem. Techniques and apparatus employed include a polynomialization of an IP structure theory, an extension of Hindman's theorem due to Milliken and Taylor, a polynomial version of the Hales-Jewett coloring theorem, and a theorem concerning limits of polynomially generated IP systems of unitary operators. Author information is not given. Annotation copyrighted by Book News, Inc., Portland, OR. | |
| 505 | 0 | 0 | |t 0. Introduction |t 1. Formulation of main theorem |t 2. Preliminaries |t 3. Primitive extensions |t 4. Relative polynomial mixing |t 5. Completion of the proof |t 6. Measure-theoretic applications |t 7. Combinatorial applications |t 8. For future investigation. |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Measure-preserving transformations. | |
| 650 | 0 | |a Ramsey theory. | |
| 650 | 6 | |a Transformations conservant la mesure. | |
| 650 | 6 | |a Théorie de Ramsey. | |
| 650 | 7 | |a Measure-preserving transformations |2 fast | |
| 650 | 7 | |a Ramsey theory |2 fast | |
| 700 | 1 | |a McCutcheon, Randall, |d 1965- |1 https://id.oclc.org/worldcat/entity/E39PBJkMJfhkD8CDBYGy7xpgKd | |
| 776 | 0 | 8 | |i Print version: |a Bergelson, V. 1950- |t Ergodic IP polynomial Szemerédi theorem / |x 0065-9266 |z 9780821826577 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 695. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114517 |z Texto completo |
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