论文标题
rudin-shapiro序列的相关函数
Correlation functions of the Rudin-Shapiro sequence
论文作者
论文摘要
在本文中，我们表明平衡rudin-shapiro序列的所有奇点相关函数消失了，并且所有均匀的点相关函数仅取决于一个数字，这也适用于任何加权相关函数。对于四点相关函数，我们提供了更详细的说明，该博览会揭示了一些算术结构和对称性。特别是，我们表明可以在其中具有最大的纯点光谱获得其拓扑因子的自相关系数。
In this paper, we show that all odd-point correlation functions of the balanced Rudin--Shapiro sequence vanish and that all even-point correlation functions depend only on a single number, which holds for any weighted correlation function as well. For the four-point correlation functions, we provide a more detailed exposition which reveals some arithmetic structures and symmetries. In particular, we show that one can obtain the autocorrelation coefficients of its topological factor with maximal pure point spectrum among them.
