中科院数学与系统科学研究院
数学研究所
学术报告
动力系统研讨班
报告人：陈昌昊 教授（安徽大学）
题 目：Orthogonal projections of planar sets in countable directions
时 间：2022.10.20（星期四）16:00-17:00
地 点：腾讯会议：782-2460-5514
摘 要：A fundamental problem in fractal geometry is to determine how the projections affect dimension. We improve a result of Orponen (2016) that there exists finite fixed directions such that for any planar set, its projection set is larger in some direction. As an application of our results, we show that there exists a countable directions such that for any t-Ahlfors-David regular set, its projection sets can be as large as possible.
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