Files and links (1)
Preprint (Author's original)ArXiv.org - Non-exclusive license to distribute, Open Access
Journal article
Bourgain's slicing problem and KLS isoperimetry up to polylog
Geometric and functional analysis, Vol.32(5), pp.1134-1159
01/Oct/2022
Abstract
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.
Details
- Title
- Bourgain's slicing problem and KLS isoperimetry up to polylog
- Creators
- Bo'az Klartag (Corresponding Author) - 972WIS_INST___84Joseph Lehec - Université Paris Dauphine-PSL
- Resource Type
- Journal article
- Publication Details
- Geometric and functional analysis, Vol.32(5), pp.1134-1159; 01/Oct/2022
- Number of pages
- 26
- Publisher
- Springer Nature
- Language
- English
- DOI
- https://doi.org/10.1007/s00039-022-00612-9
- Grant note
- The first-named author would like to thank Ronen Eldan and Eli Putterman for interesting discussions, and was partially supported by a grant from the Israel Science Foundation (ISF).
- Record Identifier
- 993404466903596
Metrics
4 Record Views