Multiple recurrence for two commuting transformations

Multiple recurrence for two commuting transformations
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两次通勤转换的多次重复

DOI:
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发表时间:
2009
影响因子:
0.9
通讯作者:
Q. Chu
Q. Chu
中科院分区:
数学2区
文献类型:
--
作者:
Q. Chu

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摘要本文致力于对两个通勤转换的多重复发。 B. Host最近建立了证明。
Abstract This paper is devoted to a study of the multiple recurrence of two commuting transformations. We derive a result which is similar but not identical to that established by Bergelson, Host and Kra for one single transformation. We use the machinery of ‘magic systems’ established recently by B. Host for the proof.