邮箱 English

全部

Intrinsic Diophantine approximation on triadic Cantor set: a Mahler's question

  • 演讲者:Wang Baowei(华中科技大学)

  • 时间:2020-12-11 14:30-15:30

  • 地点:腾讯会议 ID 984 174 703

Abstract

In this talk, we will discuss the intrinsic Diophantine approximation on the triadic Cantor set $\K$, i.e. approximating the points in $\K$ by rational numbers in $\K$, a question posed by K. Mahler. By using another height function of a rational number in $\K$, instead of the usual denominator, a complete metric theory for this variant intrinsic Diophantine approximation is presented which yields to the divergence part of Mahler's problem.

 

个人简介

王保伟,华中科技大学数学与统计学院教授。研究方向是分形几何和度量丢番图逼近,在丢番图逼近中的维数理论和分形集上的丢番图逼近方面开展了系统的研究。主持有青年基金、面上项目、优秀青年基金等。