Positive Gaussian Kernels also Have Gaussian Minimizers
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Publication:5063347
DOI10.1090/memo/1359zbMath1504.47089arXiv1805.02455OpenAlexW2800824229MaRDI QIDQ5063347
Publication date: 17 March 2022
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.02455
Gaussian kerneloptimal transportBrascamp-Lieb inequalitypositivity improving propertyreversed Gaussian hypercontractivity
Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities for sums, series and integrals (26D15) Multilinear and polynomial operators (47H60)
Related Items (1)
Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality
Cites Work
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- Positivité améliorée et noyaux gaussiens
- Gaussian kernels have only Gaussian maximizers
- A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
- On a reverse form of the Brascamp-Lieb inequality
- Positivity improving operators and hypercontractivity
- A generalization of Hölder's inequality and some probability inequalities
- Best constants in Young's inequality, its converse, and its generalization to more than three functions
- Inequalities in Fourier analysis
- A remarkable measure preserving diffeomorphism between two convex bodies in \(\mathbb{R}^n\)
- Optimal Young's inequality and its converse: A simple proof
- An extremal property of the mean width of the simplex
- Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2--8, 2001
- Combinatorial optimization. Polyhedra and efficiency (3 volumes)
- A sharp analog of Young's inequality on \(S^N\) and related entropy inequalities
- Existence and uniqueness of monotone measure-preserving maps
- Diffusion equations and geometric inequalities
- The free Markoff field
- Closure properties of solutions to heat inequalities
- Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities
- Improved Hölder and reverse Hölder inequalities for Gaussian random vectors
- The Brascamp-Lieb inequalities: Finiteness, structure and extremals
- A multidimensional version of noise stability
- Convex functions and upper semi-continuous collections
- Short Probabilistic Proof of the Brascamp-Lieb and Barthe Theorems
- Volume Ratios and a Reverse Isoperimetric Inequality
- The Regularity of Mappings with a Convex Potential
- Inégalités de Brascamp-Lieb et convexité
- Remarks on Gaussian Noise Stability, Brascamp-Lieb and Slepian Inequalities
- An inequality related to the isoperimetric inequality
- The Monge-Ampère equation
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