主讲人：  孔德荣 研究员

主持人：  李文侠 教授

开始时间：2019-04-10 10:00-11:00 

讲座地址：闵行校区3教306

主办单位：数学科学学院

报告人简介：孔德荣为重庆大学数学系百人计划研究员，他在beta展式研究领域取得了许多有深刻影响的学术成果，享有很高的学术声誉。

摘要：Fix an alphabet A={0,1,…,M}. The univoque set U of bases q in (1,M+1) in which the number 1 has a unique expansion over the alphabet A has been well studied. It has Lebesgue measure zero but Hausdorff dimension one. In this talk we will describe how the set U is distributed over the interval (1,M+1) by determining the local dimension of U. As an application we give a complete answer to a question of [P. Allaart, Adv. Math., 308:575--598, 2017] about strongly univoque sets. This is a joint work with Pieter Allaart.