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Polynomial mean complexity and Logarithmic Sarnak conjecture

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 نشر من قبل Leiye Xu
 تاريخ النشر 2020
  مجال البحث
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In this paper, we reduce the logarithmic Sarnak conjecture to the ${0,1}$-symbolic systems with polynomial mean complexity. By showing that the logarithmic Sarnak conjecture holds for any topologically dynamical system with sublinear complexity, we provide a variant of the $1$-Fourier uniformity conjecture, where the frequencies are restricted to any subset of $[0,1]$ with packing dimension less than one.



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