动力系统研讨班：Towards a zero-one law for improvements to Dirichlet's approximation theorem

中科院数学与系统科学研究院

数学研究所

学术报告

动力系统研讨班

报告人：于树澄 （中国科学技术大学）  

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

时  间：2022.11.17（星期四）16:15-17:15

地  点：腾讯会议：782-2460-5514

摘  要：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.