Bourgain’s slicing problem and KLS isoperimetry up to polylog

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.

Saved in:
Bibliographic Details
Published inGeometric and functional analysis Vol. 32; no. 5; pp. 1134 - 1159
Main Authors Klartag, Bo’az, Lehec, Joseph
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.10.2022
Springer Nature B.V
Subjects
Analysis
Hyperplanes
Mathematics
Mathematics and Statistics
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1016-443X
1420-8970
DOI:10.1007/s00039-022-00612-9