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A quantitative version of Schmidt's conjecture

发布日期:2026-04-08点击数:

报告人:吴乘洋 博士生(北京大学)

时间:2026年4月17日 09:30-

地点:理科楼LA104


摘要:Schmidt's conjecture is an important problem in Diophantine approximation, which focuses on the intersection of several sets consisting of weighted badly approximable vectors, and is closely related to Littlewood's conjecture. In this talk, we present a quantitative version of Schmidt's conjecture and its dynamical formulation. Moreover, within a general framework, we propose conditions for determining the non-emptiness of a certain generalized Cantor set, and estimate the lower bound of its Hausdorff dimension.


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