Logarithmically-Concave Moment Measures I
From MaRDI portal
Publication:5255122
DOI10.1007/978-3-319-09477-9_16zbMath1315.60017arXiv1309.2767OpenAlexW1747188434MaRDI QIDQ5255122
Publication date: 11 June 2015
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.2767
Related Items
Stability estimates for invariant measures of diffusion processes, with applications to stability of moment measures and Stein kernels, Unnamed Item, An entropic generalization of Caffarelli's contraction theorem via covariance inequalities, Quantitative stability of optimal transport maps under variations of the target measure, A variant of Caffarelli's contraction theorem for probability distributions of negative powers, A variational approach to some transport inequalities, Remarks on curvature in the transportation metric, Convergence rates for discretized Monge-Ampère equations and quantitative stability of optimal transport, Riemannian metrics on convex sets with applications to Poincaré and log-Sobolev inequalities, Riemannian metrics on \(\mathbb{R}^n\) and Sobolev-type inequalities, Extremal Kähler-Einstein metric for two-dimensional convex bodies, Stein kernels and moment maps, Moment measures, Geometry of log-concave functions: the \(L_p\) Asplund sum and the \(L_p\) Minkowski problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Poincaré inequalities and moment maps
- Hessian metrics, \(CD(K, N)\)-spaces, and optimal transportation of log-concave measures
- Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties
- An optimal Poincaré inequality for convex domains
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- A remarkable measure preserving diffeomorphism between two convex bodies in \(\mathbb{R}^n\)
- Sections of convex bodies through their centroid
- Kähler--Ricci solitons on toric manifolds with positive first Chern class
- Isoperimetric problems for convex bodies and a localization lemma
- Eigenvalue distribution of optimal transportation
- Complements of Lyapunov's inequality
- Verallgemeinerung eines Mittelwertsatzes von J. Favard für positive konkave Funktionen
- On Sobolev Regularity of Mass Transport and Transportation Inequalities
- Kahler geometry on toric manifolds, and some other manifolds with large symmetry
- The Regularity of Mappings with a Convex Potential
- On the second boundary value problem for equations of Monge-Ampère type.
- Marginals of Geometric Inequalities
- Uniform almost sub-Gaussian estimates for linear functionals on convex sets
- Convex Analysis
- Monotonicity properties of optimal transportation and the FKG and related inequalities
- Stochastic differential equations. An introduction with applications.
