The geometry of Euclidean convolution inequalities and entropy
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Publication:3581099
DOI10.1090/S0002-9939-10-10304-9zbMath1196.42007arXiv0907.2861MaRDI QIDQ3581099
Dario Cordero-Erausquin, Michel Ledoux
Publication date: 16 August 2010
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.2861
Gaussian processes (60G15) Inequalities; stochastic orderings (60E15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convolution, factorization for one variable harmonic analysis (42A85) Measures of information, entropy (94A17)
Related Items (5)
Representation formula for the entropy and functional inequalities ⋮ An inequality for the convolutions on unimodular locally compact groups and the optimal constant of Young's inequality ⋮ Inequality on the optimal constant of Young's convolution inequality for locally compact groups and their closed subgroups ⋮ Log-concavity and strong log-concavity: a review ⋮ Monotonicity and its analytic and geometric implications
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- The Brascamp-Lieb inequalities: Finiteness, structure and extremals
- Correlation and Brascamp-Lieb Inequalities for Markov Semigroups
- Information theoretic inequalities
- Logarithmic Sobolev Inequalities
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