An Ergodic IP Polynomial Szemerbedi Theorem

Author/creator Bergelson, Vitaly, 1950- Author
Other author McCutcheon, Randall 1965- Author
Format Electronic
Publication InfoProvidence : American Mathematical Society
Description106 p.
Supplemental ContentFull text available from Memoirs of the American Mathematical Society - Backfile
Supplemental ContentFull text available from Ebook Central - Academic Complete
Subjects

SeriesMemoirs of the American Mathematical Society Ser. 146
Summary Annotation 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
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 00036258
ISBN9780821826577
ISBN0821826573 (Trade Paper) Active Record
Standard identifier# 9780821826577
Stock number00001436

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