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A Dimension-Free Bound on the Poincaré Constant of Isotropic Log-Concave Measures
The Kannan--Lovász--Simonovits (KLS) conjecture asks whether isotropic log-concave probability measures satisfy a Poincaré inequality with a constant independent of dimension. In this paper, we establish a dimension-free Poincaré inequality and hence a universal positive lower bound for the Euclidea
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