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荔园学者colloquium第七十五期
讲座题目:Diophantine approximation and shrinking target: a limsup set defined by very thin rectangles
主讲人:吴军 教授(华中科技大学)
讲座时间:1月26日上午9:40-10:20
讲座地点:深圳大学汇星楼一楼三号报告厅
内容概述:This talk is motivated by the metric theory of limsup sets of rectangles where the side-lengths of the rectangles are far beyond being comparable. Consider the metric theory of the following limsup set coming from a combination of Diophantine approximation and shrinking target problem:
It will disclose some un-observed but general phenomenon for the dimension of limsup sets defined by rectangles. As a byproduct, it yields a visible structure of the product of the set of Liouville numbers: contains a limsup set defined by rectangles of dimension 1.
主讲人简介:吴军,华中科技大学数学院教授,博士生导师,国家级人才项目入选者。2002年入选教育部跨世纪优秀人才计划,2007年入选新世纪百千万工程国家级人选。研究方向为分形几何与度量数论。
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江南体育官网
2024年01月25日