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Sharp Minkowski dimension for curved Kakeya sets with radial symmetry

发布时间:2026年09月18日 14:23 浏览量:

报告题目:Sharp Minkowski dimension for curved Kakeya sets with radial symmetry

报告人:杨童鸥 副教授 (南方科技大学)

报告时间:2026928日(星期一)9:00-10:00

报告地点:数学科学学院 114(小报告厅)

校内联系人:李俊峰 教授 联系方式84708351-8418


报告摘要: We obtain sharp logarithmic orders for the measure of the delta-neighbourhood of curved Kakeya sets as surfaces of revolution generated by a family of 2D curves satisfying a certain cinematic curvature condition. In particular, we obtain sharp logarithmic order for the measure of delta-neighbourhood of spherical Kakeya sets. This is joint with Xianghong Chen (SYSU).

报告人简介:Tongou Yang is currently an associate professor at the Southern University of Science and Technology. He obtained a PhD from the University of British Columbia in 2021, advised by Professor Malabika Pramanik. He also held postdoctoral positions at the University of Wisconsin-Madison and the University of California, Los Angeles. His research focuses on Euclidean harmonic analysis and geometric measure theory, with publications in top journals such as the American Journal of Mathematics and Mathematische Annalen.


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