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报告人：王保伟 教授（华中科技大学）

时间：2026年01月06日 10:30-

地址：理科楼LA104

摘要：Hausdorff dimension of the Cartesian product of sets is a fundamental question in fractal geometry. Motivated by an observation of Erdos that the Hausdorff dimension of the Cartesian product of two Liouville sets is of 1, we consider the dimension of the Cartesian product of limsup sets arising from Diophantine approximation. In many cases, the dimension shares a unified formula. We believe that it should be a general principle for ‘real’ limsup sets. The potential way to study it is to give a thorough analysis on the structure of limsup sets.

邀请人：孔德荣

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