Localization for infinite-dimensional hyperbolic measures

DOI10.1134/S1064562415030138zbMath1370.46024MaRDI QIDQ498193

Sergey G. Bobkov, James Melbourne

Publication date: 28 September 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

locally convex spacesouter measureRadon measures, \(\alpha\)-concave measures

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (4)

Localization for hyperbolic measures on infinite-dimensional spaces ⋮ Absolute continuity of distributions of polynomials on spaces with log-concave measures ⋮ Concentration inequalities for ultra log-concave distributions ⋮ Geometric and functional inequalities for log-concave probability sequences

Cites Work

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• An optimal Poincaré inequality for convex domains
• Concentration inequalities for s-concave measures of dilations of Borel sets and applications
• Convex measures on locally convex spaces
• The extreme points of subsets of s-concave probabilities and a geometric localization theorem
• Isoperimetric problems for convex bodies and a localization lemma
• Sharp dilation-type inequalities with a fixed parameter of convexity
• Convexity of measures in certain convex cones in vector space $\sigma$-algebras.
• Random walks in a convex body and an improved volume algorithm
• Kahane‐Khinchine type inequalities for negative exponent

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