Bourgain’s slicing problem and KLS isoperimetry up to polylog

Bo’az Klartag; Joseph Lehec

doi:https://doi.org/10.1007/s00039-022-00612-9

Bourgain’s slicing problem and KLS isoperimetry up to polylog

Bo’az Klartag, Joseph Lehec

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	1134-1159
Number of pages	26
Journal	Geometric and Functional Analysis
Volume	32
Issue number	5
Early online date	21 Sep 2022
DOIs	https://doi.org/10.1007/s00039-022-00612-9
State	Published - Oct 2022

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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https://doi.org/10.1007/s00039-022-00612-9

Cite this

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title = "Bourgain{\textquoteright}s slicing problem and KLS isoperimetry up to polylog",

abstract = "We prove that Bourgain{\textquoteright}s hyperplane conjecture and the Kannan-Lov{\'a}sz-Simonovits (KLS) isoperimetric conjecture hold true up to a factor that is polylogarithmic in the dimension.",

author = "Bo{\textquoteright}az Klartag and Joseph Lehec",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2022",

month = oct,

doi = "https://doi.org/10.1007/s00039-022-00612-9",

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T1 - Bourgain’s slicing problem and KLS isoperimetry up to polylog

AU - Klartag, Bo’az

AU - Lehec, Joseph

PY - 2022/10

Y1 - 2022/10

N2 - We prove that Bourgain’s hyperplane conjecture and the Kannan-Lovász-Simonovits (KLS) isoperimetric conjecture hold true up to a factor that is polylogarithmic in the dimension.

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

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U2 - https://doi.org/10.1007/s00039-022-00612-9

DO - https://doi.org/10.1007/s00039-022-00612-9

M3 - مقالة

SN - 1016-443X

VL - 32

SP - 1134

EP - 1159

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 5

ER -

Bourgain’s slicing problem and KLS isoperimetry up to polylog

Abstract

All Science Journal Classification (ASJC) codes

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