Lecture notes reveal recent progress toward Bourgain's slicing problem in high-dimensional convex sets, highlighting advances in the Kannan-Lovasz-Simonovits isoperimetric conjecture.
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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Klartag et al. (2024) studied this question.
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