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

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

Venue:Tencent Meeting ID : 364-137-285

Speaker:Shucheng Yu (于树澄), USTC


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.




DATENovember 30, 2022
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