Improved log-concavity for rotationally invariant measures of symmetric convex sets
From MaRDI portal
Publication:6045516
DOI10.1214/22-aop1604arXiv2111.05110OpenAlexW3213183515MaRDI QIDQ6045516
Dario Cordero-Erausquin, Liran Rotem
Publication date: 31 May 2023
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.05110
Poincaré inequalitylog-concavityBrascamp-Lieb inequalityBrunn-Minkowski(B) conjectureGardner-Zvavitch conjecture
Inequalities; stochastic orderings (60E15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The log-Brunn-Minkowski inequality
- Small ball probability and Dvoretzky's Theorem
- Weighted Poincaré-type inequalities for Cauchy and other convex measures
- Convex measures on locally convex spaces
- Convex set functions in d-space
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- Gaussian mixtures: entropy and geometric inequalities
- The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems
- The dimensional Brunn-Minkowski inequality in Gauss space
- On the Gardner-Zvavitch conjecture: symmetry in inequalities of Brunn-Minkowski type
- On the stability of Brunn-Minkowski type inequalities
- Remarks on the conjectured log-Brunn-Minkowski inequality
- MORE ON LOGARITHMIC SUMS OF CONVEX BODIES
- Gaussian Brunn-Minkowski inequalities
- FROM THE BRUNN–MINKOWSKI INEQUALITY TO A CLASS OF POINCARÉ-TYPE INEQUALITIES
- Small ball probability estimates in terms of width
- Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds
- On sharp Sobolev-type inequalities for multidimensional Cauchy measures
- Local 𝐿^{𝑝}-Brunn–Minkowski inequalities for 𝑝<1
- Several Results Regarding the (B)-Conjecture
- On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities
This page was built for publication: Improved log-concavity for rotationally invariant measures of symmetric convex sets