Dec 29, 2017 · The Kannan-Lovász-Simonovits conjecture says that the Cheeger constant of any logconcave density is achieved to within a universal, dimension- ...
Nov 27, 2020 · We prove an almost constant lower bound of the isoperimetric coefficient in the KLS conjecture. The lower bound has the dimension dependency d^ ...
Dec 21, 2020 · The KLS conjecture asserts that up to a universal constant independent from the dimension the Cheeger constant is realized by separating K with ...
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In this article, we describe the origin and consequences of the Kannan-. Lovász-Simonovits (KLS) conjecture, which now plays a central role in con- vex geometry ...
Mar 29, 2022 · Abstract:We prove that Bourgain's hyperplane conjecture and the Kannan-Lovász-Simonovits (KLS) isoperimetric conjecture hold true up to a factor ...
Abstract: Kannan, Lovász and Simonovits (KLS) conjectured in 1995 that the Cheeger isoperimetric coefficient of any log-concave density is achieved by ...
Aug 5, 2021 · Kannan, Lovász, and Simonovits (KLS) conjectured in 1995 that the Cheeger isoperimetric coefficient of any log-concave density or any convex ...
Milman. Our proof technique is a development of stochastic localization, first introduced by Eldan. Keywords. Concentration, Isoperimetry, KLS, Log ...
Duration: 42:15
Posted: Mar 23, 2021
Posted: Mar 23, 2021
Mar 24, 2021 · For this reason, the KLS conjecture is also called the KLS hyperplane conjecture. To make it precise, we start by formally defining log ...