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Pointwise densities of homogeneous Cantor measure and critical values

孔德荣 研究员(重庆大学)
Friday, June 5th, 2020, 1:00 PM  腾讯会议 房间号:624 266 064
主持人:李文侠 教授
报告平台:腾讯会议 房间号:624 266 064
报告人简介:孔德荣,重庆大学百人计划研究员。2012年博士毕业于荷兰代尔夫特理工大学,2016-2018年在荷兰莱顿大学从事博士后研究。主要研究方向:分形几何、遍历论与动力系统。在Adv. Math.,Trans. AMS,Math.Z.,ETDS,Nonlinearity,Adv.Appl.Math.等杂志发表论文二十多篇。
报告摘要:In this talk we consider the pointwise densities of a homogeneous Cantor measure, which extends some early results of Feng et al. (2000). Furthermore, we determine two critical values for the lower and upper densities. Our strategy to find them relies on ideas from open dynamical systems and techniques from combinatorics on words.
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