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Bourgain's slicing problem and KLS isoperimetry up to polylog

Published 29 Mar 2022 in math.FA, math.MG, and math.PR | (2203.15551v2)

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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