摘要：The fractal uncertainty principle states that no function can be localized both close to a fractal set in both positions and frequencies. In this talk, we discuss the fractal uncertainty principle of discrete Cantor sets. Under this setting, we give a necessary and sufficient condition to achieve the most uncertain exponent. Besides, such condition will be described as distributed spectral pairs, which is a generalization of spectral pairs studied in the spectral sets related to Fuglede’s conjecture. Meanwhile we investigate distributed spectral pairs in some cyclic groups and some complete classifications are given. This is a joint work with Chun-Kit Lai.

个人简介：复旦大学上海数学中心研究员、博士生导师，2018 年获法国 Picardie 大学博士学位。主要从事动力系统、遍历论、调和分析等方向研究，在 Adv.Math.、Math.Ann.、Trans.Amer.Math.Soc. 等著名学术期刊发表多篇文章。