Isoperimetric inequalities in high-dimensional convex sets

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

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Publication Details

Journal
Bulletin of the American Mathematical Society
Published
2025-08-13
DOI
https://doi.org/10.1090/bull/1869
Citations
2
Primary Topic
Point processes and geometric inequalities
Type
article
Field-Weighted Citation Impact
7.45
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article

Isoperimetric inequalities in high-dimensional convex sets

Bo’az Klartag, Joseph Lehec
2 citations
Bulletin of the American Mathematical Society
Point processes and geometric inequalities
7.45
article

Isoperimetric inequalities in high-dimensional convex sets

Bo’az Klartag, Joseph Lehec
article en
2 citations

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).

Bulletin of the American Mathematical SocietyVol. 62(4)
Centre National de la Recherche Scientifique (FR), Université de Poitiers (FR), Weizmann Institute of Science (IL)
Openalex Percentile: Top 3%
Point processes and geometric inequalities
7.45
DOIOpen Access PDFOpenAlex
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Isoperimetric inequalities in high-dimensional convex sets — Bo’az Klartag, Joseph Lehec · Bulletin of the American Mathematical Society (2025) | TGRS Research Map | TGRS