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arXiv · 2203.15551

Bourgain's slicing problem and KLS isoperimetry up to polylog

Bo'az Klartag·Joseph Lehec
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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.

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Bo'az Klartag, Joseph Lehec. 2022-03-29. Bourgain's slicing problem and KLS isoperimetry up to polylog. https://arxiv.org/abs/2203.15551

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