报告人：胡怡宁 (华中科技大学)

时间：2021年12月27日14:30

腾讯会议ID：584 885 390（无密码）

摘要：We introduce the Thue-Morse sequence with many examples, and then give the definition and properties of automatic sequences in general. We talk about the link between automaticity and algebraicity, the results for power series in GF(q)[[x]] due to Christol, Kamae, Mendès-France and Rauzy, for expansion of real numbers due to Adamczewski and Bugeaud, and for real continued fractions due to Bugeaud. There seems to be a missing piece of the puzzle – What about power series that are continued fractions defined by automatic sequences? We attempt to answer this question by looking at the typical example, the Thue-Morse sequence.

简介:巴黎六大博士，师从自动机方向的顶级专家Jean-Paul Allouche. 研究兴趣包括自动机序列，以及与之相关的形式语言、词上的组合、连分式理论等，已在Adv. Appl. Math., J. Number Theory等数论与组合方向的高水平期刊发表论文数篇.

邀请人：傅士硕

欢迎广大师生积极参与！