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关于举行湖北大学文胜友教授、中南财经政法大学危纯副教授、武汉理工大学常远洋博士学术报告会的通知

澳门金莎娱乐官网:2020-11-16文章来源:澳门金莎娱乐官网浏览次数:10

报告题目一:Two problems on fractal necklces

报  告  人:文胜友  教授(湖北大学)

报告时间:20201120日(星期五)下午15:00-15:50 

 

报告题目二:Quasisymmetrically equivalence of the sets defined by matrix restrictions

报  告  人:危纯  副教授(中南财经政法大学)

报告时间:20201120日(星期五)下午15:50-16:40 


报告题目三:On the entropy of beta-expansion of real numbers

报  告  人:常远洋  博士(武汉理工大学)

报告时间:20201120日(星期五)下午16:40-17:30 

 

报告地点:4号楼224

邀  请  人:李兵  教授

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20201116

报告摘要一:

In this talk, the following two problems on fractal necklaces are discussed.

Problem 1. Does every fractal necklace satisfy the open set condition?

Problem 2. Does every stable self-similar necklace has no cut points?

 

报告摘要二:

We study the geometric structure of the sets defined by matrix restrictions, give a necessary and sufficient condition which can characterize when the sets defined by matrix restrictions are quasisymmetrically equivalent.

 

报告摘要三:

Let beta>1 be a real number. We consider the entropy of beta-expansion of real numbers in the unit interval, which is defined as the logarithmic growth rate of the beta-expansion. The Hausdorff dimension of the level sets of entropy is determined. If time admitted, we shall also show some attempts to determine the size of the intersection of two level set of entropy in two different bases. This is an ongoing joint work with Prof. Bing Li.


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