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Towards a zero-one law for improvements to Dirichlet's approximation theorem

来源: 11-30

时间:Wed., 7:30 - 8:30 pm., Nov.30, 2022

地点:Tencent Meeting ID : 364-137-285

主讲人:Shucheng Yu (于树澄), USTC

Abstract

In this talk we discuss a notion of $\psi$-Dirichlet in Diophantine approximation which concerns improving Dirichlet’s approximation theorem to a general approximating function $\psi$. This notion was introduced by Kleinbock and Wadleigh in 2018 and generalizes the classical notion of a matrix being Dirichlet-improvable. In particular, we prove a partial zero-one law for the Lebesgue measure of the set of $\psi$-Dirichlet matrices. Joint with Dmitry Kleinbock and Andreas Strömbergsson.


于树澄研究方向

(1)丢番图逼近

(2)齐性动力系统

https://faculty.ustc.edu.cn/yushucheng/zh_CN/index/661256/list/index.htm


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