报告名称：Fractal uncertain principal and distributed spectral set

报告专家： 史汝西

专家所在单位：复旦大学上海数学中心

报告时间：2025-11-17 15：00

报告地点:腾讯会议

专家简介： 史汝西，复旦大学上海数学中心青年研究员，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，调和分析等方面的研究。

报告摘要：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.