English

Isoperimetric inequalities in high-dimensional convex sets

Functional Analysis 2024-12-02 v2 Probability

Abstract

These are lecture notes focusing on recent progress towards Bourgain's slicing problem and the isoperimetric conjecture proposed by Kannan, Lovasz and Simonovits (KLS).

Keywords

Cite

@article{arxiv.2406.01324,
  title  = {Isoperimetric inequalities in high-dimensional convex sets},
  author = {Bo'az Klartag and Joseph Lehec},
  journal= {arXiv preprint arXiv:2406.01324},
  year   = {2024}
}

Comments

81 pages, lecture notes from an IHP school

R2 v1 2026-06-28T16:51:07.599Z