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Rényi Entropy Power Inequalities via Normal Transport and Rotation. [PDF]
Rioul O.
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On manifolds with almost non-negative Ricci curvature and integrally-positive k th -scalar curvature. [PDF]
Cucinotta A, Mondino A.
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Log-Concavity and Strong Log-Concavity: a review. [PDF]
Saumard A, Wellner JA.
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Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics. [PDF]
Kunzinger M, Ohanyan A, Vardabasso A.
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Towards information inequalities for generalized graph entropies. [PDF]
Sivakumar L, Dehmer M.
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A Theorem on Convex Bodies of the Brunn-Minkowski Type. [PDF]
Busemann H.
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The Brownian transport map. [PDF]
Mikulincer D, Shenfeld Y.
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The Steiner formula for Minkowski valuations.
Parapatits L, Schuster FE.
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The affine Pólya-Szegö principle: Equality cases and stability.
Wang T.
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On a Discrete Brunn--Minkowski Type Inequality
SIAM Journal on Discrete Mathematics, 2018The classical Brunn-Minkowski inequality for the Minkowski sum of two compact sets \(K\) and \(L\) in \(\mathbb R^n\) states that \[ \mathrm{vol}(K+L)^{1/n} \geq\mathrm{vol}(K)^{1/n} + \mathrm{vol}(L)^{1/n}. \] On the other hand, if \(A\) and \(B\) are finite subsets of \(\mathbb R^n\) and \(|\;|\) stands for their cardinality, a direct discrete ...
Hernández Cifre, María A. +2 more
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