THE CYLINDRICAL WIDTH OF TRANSITIVE SETS

被引：0

作者：

Sah, Ashwin ^{[1
]}

Sawhney, Mehtaab ^{[1
]}

Zhao, Yufei ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2023年 / 253卷 / 02期

关键词：

FINITE; BOUNDS;

D O I：

10.1007/s11856-022-2376-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for every 1 <= k <= d/(log d)(C), for some absolute constant C, that every finite transitive set of unit vectors in R d lies within distance O (1/root log(d/k)) of some codimension k subspace, and this distance bound is best possible. This extends a result of Ben Green, who proved it for k = 1.

引用

页码：647 / 672

页数：26

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