Bourgain's slicing problem and KLS isoperimetry up to polylog
Functional Analysis
2022-04-12 v2 Metric Geometry
Probability
Abstract
We prove that Bourgain's hyperplane conjecture and the Kannan-Lov\'asz-Simonovits (KLS) isoperimetric conjecture hold true up to a factor that is polylogarithmic in the dimension.
Cite
@article{arxiv.2203.15551,
title = {Bourgain's slicing problem and KLS isoperimetry up to polylog},
author = {Bo'az Klartag and Joseph Lehec},
journal= {arXiv preprint arXiv:2203.15551},
year = {2022}
}
Comments
22 pages