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 ...
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 ...
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Jul 10, 2018 · Abstract:The Kannan-Lovász-Simonovits conjecture says that the Cheeger constant of any logconcave density is achieved to within a universal, ...
Mar 23, 2021 · Kannan, Lovász and Simonovits (KLS) conjectured in 1995 that the Cheeger isoperimetric ...
Duration: 42:15
Posted: Mar 23, 2021
Duration: 42:15
Posted: Mar 23, 2021
The KLS conjecture is a question regarding the isoperimetric inequality in high-dimensional convex bodies, which has several consequences in ...
Mar 24, 2021 · In the case of isotropic log-concave densities, the KLS conjecture states that any isotropic log-concave density has its isoperimetric ...
Aug 5, 2021 · Kannan, Lovász, and Simonovits (KLS) conjectured in 1995 that the Cheeger isoperimetric coefficient of any log-concave density or any convex ...
In this talk, first we briefly survey the origin and the main consequences of these conjectures. Then we present the development and the refinement of the main ...