广州数学大讲坛第六期

第五十一讲——深圳技术大学陈海鹏博士学术报告

题目：Dimensions and spectra of the popcorn graphs

时间：2022年9月15日（周四）下午14：00-15：00

地点：腾讯会议（会议ID：322 358 939）

报告人：陈海鹏博士

摘要：Popcorn function (known as Thomae’s function, Riemann function, stars over Babylon etc.) and their graph set are important in the research of real analysis, number theory, fractal geometry and other related fields. In this talk, we will introduce a class of popcorn functions and their graph sets (called popcorn graphs),and show the recent progress on the dimension theory of the popcorn graphs, which mainly follows from the Duffin-Schaeffer type estimates from Diophantine approximation, and Chung-Erdős inequality from probability theory. These are joint works with Dr. Amlan Banaji, Prof. Jonathan Fraser, Dr. Han Yu, and Dr. Lixuan Zheng.

报告人简介：

陈海鹏，2020年毕业于华南理工大学，深圳技术大学数学系助理教授，主要从事分形几何与相关领域的研究，近年来在Proc. Amer. Math. Soc., Real Anal. Exch.等国际学术期刊发表学术论文7篇