Results 101 to 110 of about 543,197 (136)

An Equivalence of Dual Brunn-Minkowski Inequality for Volume Differences

open access: yes, 2013
We establish an equivalence form of the dual Brunn-Minkowski inequality for volume differences, which was established in Geom.
Zhao, C, Cheung, WS
core  

The Brunn-Minkowski inequality for random sets

open access: yes
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.
core  

L_p-極投影Brunn-Minkowski不等式

open access: yes, 2010
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
core  

A curved Brunn-Minkowski inequality on the discrete hypercube

open access: yes, 2012
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
core   +1 more source

A GENERALIZATION OF THE MATRIX FORM OF THE BRUNN-MINKOWSKI INEQUALITY

open access: yes, 2007
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
core  

Comparison between two proofs of the Brunn-Minkowski inequality [PDF]

open access: yes
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
core  

On Analogs of the Dual Brunn-Minkowski Inequality for Width-Integrals of Convex Bodies

open access: yes, 2007
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
core  

Brunn-Minkowski inequality for the 1-Riesz capacity and level set convexity for the 1/2-Laplacian

open access: yes, 2015
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
core   +1 more source

A note on an Lᵖ-Brunn-Minkowski inequality for convex measures in the unconditional case

open access: yes, 2015
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
core  

Brunn-Minkowski inequality for the 1-Riesz capacity and level set convexity for the 1/2-Laplacian

open access: yes, 2014
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
core  

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