Author:
HUANG WEN,XU LEIYE,YE XIANGDONG
Abstract
Abstract
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.
Funder
National Natural Science Foundation of China
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics