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Structure of multicorrelation sequences with integer part polynomial iterates along primes
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-10-16 , DOI: 10.1090/proc/15185 Andreas Koutsogiannis , Anh Le , Joel Moreira , Florian Richter
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-10-16 , DOI: 10.1090/proc/15185 Andreas Koutsogiannis , Anh Le , Joel Moreira , Florian Richter
Abstract:Let be a measure-preserving -action on the probability space let be vector polynomials, and let . For any and multicorrelation sequences of the form we show that there exists a nil-
sequence for which and
This result simultaneously generalizes previous results of Frantzikinakis and the authors.
中文翻译:
整数部分多项式沿素数迭代的多重相关序列的结构
摘要:让我们在概率空间上采取措施,让它成为向量多项式,然后让。对于任何形式的和多重相关的序列,我们表明存在一个零序列,且该结果同时概括了Frantzikinakis和作者的先前结果。
更新日期:2020-11-12
sequence for which and
This result simultaneously generalizes previous results of Frantzikinakis and the authors.
中文翻译:
整数部分多项式沿素数迭代的多重相关序列的结构
摘要:让我们在概率空间上采取措施,让它成为向量多项式,然后让。对于任何形式的和多重相关的序列,我们表明存在一个零序列,且该结果同时概括了Frantzikinakis和作者的先前结果。