Moment measures

DOI10.1016/j.jfa.2015.04.001zbMath1315.32004arXiv1304.0630OpenAlexW4206146906MaRDI QIDQ2343558

Dario Cordero-Erausquin, Bo'az Klartag

Publication date: 6 May 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0630

zbMATH Keywords

moment measurePrékopa theoremtoric Kähler-Einstein metrics

Mathematics Subject Classification ID

Kähler-Einstein manifolds (32Q20) Other notions of convexity in relation to several complex variables (32F17)

Related Items (29)

LYZ ellipsoid and Petty projection body for log-concave functions ⋮ Stability estimates for invariant measures of diffusion processes, with applications to stability of moment measures and Stein kernels ⋮ Dealing with moment measures via entropy and optimal transport ⋮ SYMMETRIZED TALAGRAND INEQUALITIES ON EUCLIDEAN SPACES ⋮ Some remarks on petty projection of log-concave functions ⋮ q-Moment Measures and Applications: A New Approach via Optimal Transport ⋮ Transport proofs of some functional inverse Santaló inequalities ⋮ Functional geominimal surface area and its related affine isoperimetric inequality ⋮ A variant of Caffarelli's contraction theorem for probability distributions of negative powers ⋮ Affine hemispheres of elliptic type ⋮ A variational approach to some transport inequalities ⋮ Stability of the Poincaré constant ⋮ Remarks on curvature in the transportation metric ⋮ Unnamed Item ⋮ Riemannian metrics on convex sets with applications to Poincaré and log-Sobolev inequalities ⋮ Exponentially concave functions and a new information geometry ⋮ Riemannian metrics on \(\mathbb{R}^n\) and Sobolev-type inequalities ⋮ A sharp symmetrized form of Talagrand's transport-entropy inequality for the Gaussian measure ⋮ A remark on the Alexandrov-Fenchel inequality ⋮ Regularity of Schrödinger's functional equation in the weak topology and moment measures ⋮ An optimal transport approach to Monge-Ampère equations on compact Hessian manifolds ⋮ Extremal Kähler-Einstein metric for two-dimensional convex bodies ⋮ Blaschke-Santaló inequality for many functions and geodesic barycenters of measures ⋮ A Riesz representation theorem for functionals on log-concave functions ⋮ Stein kernels and moment maps ⋮ The Busemann-Petty problem on entropy of log-concave functions ⋮ Surface area measures of log-concave functions ⋮ Free moment measures and laws ⋮ Geometry of log-concave functions: the \(L_p\) Asplund sum and the \(L_p\) Minkowski problem

Cites Work

• Toric Kähler-Einstein metrics and convex compact polytopes
• Poincaré inequalities and moment maps
• Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties
• The difference body of a convex body
• Critères de convexité et inégalités intégrales
• Some applications of mass transport to Gaussian-type inequalities
• A convexity principle for interacting gases
• Sections of convex bodies through their centroid
• Kähler--Ricci solitons on toric manifolds with positive first Chern class
• Existence and uniqueness of monotone measure-preserving maps
• Some functional forms of Blaschke-Santaló inequality
• The first variation of the total mass of log-concave functions and related inequalities
• Numerical Kähler-Einstein metric on the third del Pezzo
• Numerical approximations to extremal metrics on toric surfaces
• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• Polar factorization and monotone rearrangement of vector‐valued functions
• Interpolations, Convexity and Geometric Inequalities
• The logarithmic Minkowski problem
• Logarithmically-Concave Moment Measures I
• Uniform almost sub-Gaussian estimates for linear functionals on convex sets
• The Santaló point of a function, and a functional form of the Santaló inequality
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Moment measures