On Isoperimetric Constants for Log-Concave Probability Distributions
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Publication:5424430
DOI10.1007/978-3-540-72053-9_4zbMath1132.60301OpenAlexW24149473MaRDI QIDQ5424430
Publication date: 5 November 2007
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-540-72053-9_4
Inequalities; stochastic orderings (60E15) Normed linear spaces and Banach spaces; Banach lattices (46B99) General convexity (52A99)
Related Items (20)
Localization for hyperbolic measures on infinite-dimensional spaces ⋮ The KLS isoperimetric conjecture for generalized Orlicz balls ⋮ KLS-type isoperimetric bounds for log-concave probability measures ⋮ Hyperbolic measures on infinite dimensional spaces ⋮ Concentration phenomena in high dimensional geometry ⋮ Thin shell implies spectral gap up to polylog via a stochastic localization scheme ⋮ Isoperimetric inequalities in unbounded convex bodies ⋮ Analysis of high-dimensional distributions using pathwise methods ⋮ Geometric and functional inequalities for log-concave probability sequences ⋮ From concentration to logarithmic Sobolev and Poincaré inequalities ⋮ Dimension-free estimates on distances between subsets of volume \(\varepsilon\) inside a unit-volume body ⋮ Large deviations, moderate deviations, and the KLS conjecture ⋮ Bounds on optimal transport maps onto log-concave measures ⋮ Poincaré inequality in mean value for Gaussian polytopes ⋮ Uniform tail-decay of Lipschitz functions implies Cheeger's isoperimetric inequality under convexity assumptions ⋮ The Variance Conjecture on Some Polytopes ⋮ An isoperimetric inequality on the \(\ell _p\) balls ⋮ SPECTRAL GAP FOR SOME INVARIANT LOG‐CONCAVE PROBABILITY MEASURES ⋮ On Gaussian marginals of uniformly convex bodies ⋮ Isoperimetric inequalities in Euclidean convex bodies
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