报告时间：2026年6月23日 下午13:30开始
报  告  人：蒋赉博士，国科大杭州高等研究院
报告地点：9-218
报告题目：Representations of rational numbers and Minkowski dimension
报告摘要：In this talk, we investigate the representations of rational numbers via continued fraction, Egyptian fraction, and Engel fraction expansions. Given positive integer $m $, denote by $C_m, E_m, E_m^*$ the sets of rational numbers whose continued fraction, Egyptian fraction, and Engel fraction expansions have length $m$, respectively. We first establish the Minkowski dimensions of these sets, which implies that their global scaling properties are different. We also apply the results to sumsets of decreasing sequences. This based on joint works with Dr. Haipeng Chen and Yufeng Wu.
报告人简介：蒋赉博士，国科大杭州高等研究院博士后，主要研究方向为分形几何。其本科毕业于武汉大学，于2024年获得浙江大学数学博士学位，师从阮火军教授。博士期间专注于分形几何方向的研究，相关成果发表在Journal of Fractal Geometry、Fractals等期刊上。