Several Results Regarding the (B)-Conjecture

DOI10.1007/978-3-030-36020-7_11zbMath1447.52011OpenAlexW3036726341MaRDI QIDQ5115956

Dario Cordero-Erausquin, Liran Rotem

Publication date: 21 August 2020

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-36020-7_11

zbMATH Keywords

convex bodyGaussian measuresBorel measureslog-concave functions

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Mixed volumes and related topics in convex geometry (52A39)

Related Items (1)

Improved log-concavity for rotationally invariant measures of symmetric convex sets

Cites Work

• Unnamed Item
• The log-Brunn-Minkowski inequality
• Convex measures on locally convex spaces
• Convex set functions in d-space
• Santaló's inequality on \(\mathbb{C}^n\) by complex interpolation
• Gaussian mixtures: entropy and geometric inequalities
• The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems
• On the stability of Brunn-Minkowski type inequalities
• Remarks on the conjectured log-Brunn-Minkowski inequality
• MORE ON LOGARITHMIC SUMS OF CONVEX BODIES
• A note on a Brunn-Minkowski inequality for the Gaussian measure
• On a convexity property of sections of the cross-polytope
• The (B) Conjecture for Uniform Measures in the Plane
• The Santaló point of a function, and a functional form of the Santaló inequality

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