报告题目：On arithmetically thick sets in R^d
报 告 人：丰德军（香港中文大学 教授）
会议时间：2021年1月22日 下午2:30开始
会议地点：腾讯会议 ID：999210878
报告摘要： A compact set E in the d-dimensional Euclidean space is said to be arithmetically thick if there exists a positive integer n so that the n-fold arithmetic sum of E has non-empty interior. We give a sufficient condition to guarantee the arithmetic thickness. Moreover, we verify this property for several classes of fractal sets, including all the self-similar sets and self-conformal sets that are not lying in a proper affine subspace. We also prove it for self-affine sets under mild assumptions. This is joint work with Yu-Feng Wu.
报告人介绍：丰德军，香港中文大学教授。丰德军教授在重分形分析、迭代函数系统的维数理论，热力学机制的数学原理、自相似结构的刚性等研究上做出了一系列开创性的成果，在Comm. Pure Appl. Math., Geom. and Func. Anal., J. Eur. Math. Soc.等数学期刊上发表SCI论文60余篇，引用800余次，是国际分形几何和动力系统研究领域的一流专家。
