Results 101 to 110 of about 543,197 (136)
An Equivalence of Dual Brunn-Minkowski Inequality for Volume Differences
We establish an equivalence form of the dual Brunn-Minkowski inequality for volume differences, which was established in Geom.
Zhao, C, Cheung, WS
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The Brunn-Minkowski inequality for random sets
The Brunn-Minkowski inequality asserts a concavity feature of the volume functional under convex addition of sets. Among its applications has been Anderson's treatment of multivariate densities.
Vitale, Richard A.
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In this paper,the authors first generalize the notion of classical dual mixed volume to L_p-space and introduce the notion of q-dual mixed volume.Moreover,they extend the notion of classical L_p(p≥1)-projection bodies and introduce the notions of L_p ...
Zhao, C, Cheung, WS
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A curved Brunn-Minkowski inequality on the discrete hypercube
International audienceWe compare two approaches to Ricci curvature on non-smooth spaces, in the case of the discrete hypercube $\{0,1\}^N$. While the coarse Ricci curvature of the first author readily yields a positive value for curvature, the ...
Ollivier, Yann, Villani, Cédric
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A GENERALIZATION OF THE MATRIX FORM OF THE BRUNN-MINKOWSKI INEQUALITY
In this paper, we establish an extension of the matrix form of the Brunn-Minkowski inequality. As applications, we give generalizations on the metric addition inequality of Alexander.
Jun Yuan, Gangsong Leng, A Rubinov
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Comparison between two proofs of the Brunn-Minkowski inequality [PDF]
openQuesto elaborato si occupa di mettere a confronto due dimostrazioni della disuguaglianza di Brunn-Minkowski. La prima dimostrazione trattata è quella considerata classica che utilizza tecniche di Analisi reale ed alla disuguaglianza tra media ...
GUERINI, LORENZO
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On Analogs of the Dual Brunn-Minkowski Inequality for Width-Integrals of Convex Bodies
In this paper we prove two new inequalities about widthintegrals of centroid and projection bodies. Two analogs of the dual Brunn-Minkowski inequality for width-integral of convex bodies are established ...
Zhao, C, Cheung, WS, Bencze, M
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Brunn-Minkowski inequality for the 1-Riesz capacity and level set convexity for the 1/2-Laplacian
We prove that that the 1-Riesz capacity satisfies a Brunn-Minkowski inequality, and that the capacitary function of the 1/2-Laplacian is level set ...
Novaga M, Ruffini B
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A note on an Lᵖ-Brunn-Minkowski inequality for convex measures in the unconditional case
1 online resource (PDF, 15 pages)Marsiglietti, Arnaud. (2015). A note on an Lᵖ-Brunn-Minkowski inequality for convex measures in the unconditional case.
Marsiglietti, Arnaud
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Brunn-Minkowski inequality for the 1-Riesz capacity and level set convexity for the 1/2-Laplacian
We prove that that the 1-Riesz capacity satisfies a Brunn-Minkowski inequality, and that the capacitary function of the 1/2-Laplacian is level set ...
Ruffini, Berardo +4 more
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