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发表时间:2019-07-24 阅读次数:311次
报告题目: On Chowla sequences in $(S^1\cup \{0\})^\mathbb{N}$
报 告 人:史汝西
报告人所在单位:芬兰 奥卢大学
报告日期:2019-07-24 星期三
报告时间:16:30-17:20
报告地点:光华东主楼1801
  
报告摘要:

The Chowla sequences and Sarnak sequences taking values in $\{-1,0,1\}$ were introduced by El Houcein el Abdalaoui, Joanna Kułaga-Przymus, Mariusz Lemańczyk and Thierry De La Rue for studying Chowla's conjecture and Sarnak's conjecture from ergodic theory point of view. One of their results is that Chowla sequences are always Sarnak sequences, and consequently orthogonal to all topological dynamical systems of zero entropy. In this talk, I will explain how to generalize Chowla sequences from $\{-1,0,1\}^\mathbb{N}$ to $(S^1\cup \{0\})^\mathbb{N}$. As an application, I will show that for almost all $\beta>1$, the sequences $(e^{2\pi i \beta^n})_{n\in \mathbb{N}}$ are Chowla sequences and consequently orthogonal to all topological dynamical systems of zero entropy.
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本年度学院报告总序号:173

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