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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 |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©2000.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 695. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Notas: | "July 2000, volume 146, number 695 (fourth of 5 numbers)." |
| Descripción Física: | 1 online resource (viii, 106 pages) |
| Bibliografía: | Includes bibliographical references (pages 103-104) and index. |
| ISBN: | 9781470402860 1470402866 |
| ISSN: | 1947-6221 ; 0065-9266 |