قیمت محصول : 4900 تومان
An Ergodic IP Polynomial Szemeredi Theorem Ebook
An Ergodic IP Polynomial Szemeredi Theorem Ebook
Ebook details:
Title: An Ergodic IP Polynomial Szemeredi Theorem Ebook
Author: Vitaly Bergelson, Randall McCutcheon
Publisher: Amer Mathematical Society
Edition: ۲۳ edition
Langage: English
Format: ebook True Pdf
Size: ۲۶ Mb
pages: ۱۲۱
Year: ۲۰۰۰
ISBN: 0821826573
We prove a polynomial multiple recurrence theorem for finitely many commuting measure preserving transformations of a probability space, extending a polynomial Szemeredi theorem appearing in [BL1]. The linear case is a consequence of an ergodic IP-Szemeredi theorem of Furstenberg and Katznelson ([FK2]). Several applications to the fine structure of recurrence in ergodic theory are given, some of which involve weakly mixing systems, for which we also prove a multiparameter weakly mixing polynomial ergodic theorem. The techniques and apparatus employed include a polynomialization of an IP structure theory developed in [FK2], an extension of Hindman’s theorem due to Milliken and Taylor ([M], [T]), a polynomial version of the Hales-Jewett coloring theorem ([BL2]), and a theorem concerning limits of polynomially generated IP-systems of unitary operators ([BFM]).
