Bourgain's slicing problem and KLS isoperimetry up to polylog

被引：26

作者：

Klartag, Bo'az ^{[1
]}

Lehec, Joseph ^{[2
]}

机构：

[1] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel

[2] Univ Paris 09, UMR CNRS 7534, CEREMADE, F-75016 Paris, France

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2022年 / 32卷 / 05期

基金：

以色列科学基金会;

关键词：

CENTRAL-LIMIT-THEOREM; CONVEX-BODIES; PROPERTY; SHELL; SETS;

D O I：

10.1007/s00039-022-00612-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that Bourgain's hyperplane conjecture and the Kannan-Lovasz-Simonovits (KLS) isoperimetric conjecture hold true up to a factor that is polylogarithmic in the dimension.

引用

页码：1134 / 1159

页数：26

共 3 条

[1] Eldan's stochastic localization and the KLS conjecture: Isoperimetry, concentration and mixing
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ANNALS OF MATHEMATICS, 2024, 199 (03) : 1043 - 1092
[2] Towards Hadwiger's Conjecture via Bourgain Slicing
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[3] POLYNOMIAL BOUNDS IN KOLDOBSKY'S DISCRETE SLICING PROBLEM
Freyer, Ansgar
Henk, Martin
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 152 (07) : 3063 - 3074

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