关于举办“系列报告:非整数基展开及应用”学术讲座的通知
2021-05-06      阅读次数: 10

报告人:孔德荣,重庆大学百人计划研究员,博士生导师。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:分形几何与动力系统。先后主持江苏省高校自然科学基金、江苏省自然科学基金、国家自然科学基金天元基金、青年基金、面上项目。在Adv.Math.Trans. Amer. Math. Soc.Math. Z.Ergod Theor Dyn SystNonlinearity等国外著名期刊发表论文二十余篇。

 

Abstract:

In this short course I will talk about some recent progress in non-integer base expansions and some applications. As a natural extension of decimal expansions of numbers, the non-integer base expansions can be dated back to the pioneering works of Renyi (1957) and Parry (1960). After almost 30 years of silence, Erdos et al (1990) reinvestigated this topic from a combinatorial aspect, and afterwards it got a great attention from many branches of mathematics. Recently, this topic is getting more popular as its intimate connection with Bernoulli convolutions. 

 

Schedule:

1519日(1430—1630

Non-integer base expansions and combinatorics on words

2526日(1430—1630

Unique beta expansions and Hausdorff dimension

362日(1430—1630

Univoque bases of real numbers and questions

46 9日(1430—1630

Intersections of Cantor sets and critical values

5616日(1430—1630

Beta transformation with a hole at zero and badly approximate numbers

6623日(1430—1630

Bernoulli convolutions and strongly univoque set

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