| Description |
1 online resource (viii, 106 pages) |
| Series |
Memoirs of the American Mathematical Society, 1947-6221 ; v. 695 |
|
Memoirs of the American Mathematical Society ; no. 695. 0065-9266
|
| Contents |
0. Introduction 1. Formulation of main theorem 2. Preliminaries 3. Primitive extensions 4. Relative polynomial mixing 5. Completion of the proof 6. Measure-theoretic applications 7. Combinatorial applications 8. For future investigation |
| Summary |
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 |
| Notes |
"July 2000, volume 146, number 695 (fourth of 5 numbers)." |
| Bibliography |
Includes bibliographical references (pages 103-104) and index |
| Notes |
Print version record |
| Subject |
Measure-preserving transformations.
|
|
Ramsey theory.
|
|
Measure-preserving transformations
|
|
Ramsey theory
|
| Form |
Electronic book
|
| Author |
McCutcheon, Randall, 1965-
|
| ISBN |
9781470402860 |
|
1470402866 |
|
