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SO(3,R)中幼集中的测度加倍

2023.08.03

投稿:龚惠英部门:理学院浏览次数:

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汇报标题 (Title):Measure doubling for small sets in SO(3,R)(SO(3,R)中幼集中的测度加倍)

汇报人 (Speaker):荆一凡(University of Oxford)

汇报功夫 (Time):2023年8月7日(周一) 16:10-17:10

汇报地址 (Place):校本部 F309

约请人(Inviter):席东盟、李晋、张德凯

主办部门:理学院数学系

汇报提要:Let SO(3,R) be the 3D-rotation group equipped with the real-manifold topology and the normalized Haar measure μ. Confirming a conjecture by Breuillard and Green, we show that if A is an open subset of SO(3,R) with sufficiently small measure, then μ(A^2 )>3.99μ(A). This is joint work with Chieu-Minh Tran (NUS) and Ruixiang Zhang (Berkeley).

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