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分析系列学术报告:Hausdorff Dimension of Sets of Continued Fractions with Restricted Partial Quotients

发布人:日期:2026年05月19日 16:40浏览数:

报告题目:Hausdorff Dimension of Sets of Continued Fractions with Restricted Partial Quotients

报 告 人:唐越峰博士(武汉大学)

报告时间:2026520日  11:00-12:00

报告地点:理学院格物楼307报告厅

报告摘要:

We will introduce some recent progress in the metric theory of continued fractions, specifically focusing on the Hausdorff dimension of sets defined by restrictions on partial quotients. We present results on how the prescribed growth rate of partial quotients along different subsequences affect the Hausdorff dimension.


报告人简介:

唐越峰,武汉大学在读博士生,导师:廖灵敏教授。主要从事分形几何、动力系统等方面的研究,相关成果已发表于Ramanujan.J等数学期刊。

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