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分析系列学术报告:Level sets for partial maximal of the product of consecutive partial quotients in continued fractions

发布人:日期:2024年11月20日 15:49浏览数:

报告题目:Level sets for partial maximal of the product of consecutive partial quotients in continued fractions

报 告 人:于丁丁(武汉大学)

报告时间:2024112309:30-10:30

报告地点:格物楼302

报告摘要:

In this talk, we study the growth rate of the partial maximal product of consecutive partial quotients among the first n terms in continued fractions, from the viewpoint of multi-fractal analysis. Specifically, we determine the Hausdorff dimension of the associated level set with respect to kinds of regularly increasing functions.

报告人简介:

于丁丁,武汉大学数学与统计学院在读博士,研究方向为动力系统与分形几何,导师:廖灵敏教授。

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