报告题目:0n the largest partial quotient and uniform Diophantine approximation
报 告 人:余月力副教授(武汉大学)
报告时间:2023/10/25 19:00-21:00
报告地点:腾讯会议(773-913-615)
报告摘要:
We consider the sets of $x$ defined by some growth rate of the largest partial quotient in the continued fraction expansions of $x$. This set can also be defined by a uniform Diophantine approximation of the Gauss map. We extend some known results about the uniform approximation of the beta transformation.
报告人简介:
余月力,武汉大学数学与统计学院副教授。主要从事分形几何与度量数论的研究,主持或参与多项国家自然科学基金,在Nonlinearity、J. Number Theory和Finite Fields Appl.等国际知名期刊发表论文20余篇。