Results 81 to 90 of about 503,781 (127)

Brunn-Minkowski inequalities for sprays on surfaces [PDF]

open access: yes
We propose a generalization of the Minkowski average of two subsets of a Riemannian manifold, in which geodesics are replaced by an arbitrary family of parametrized curves.
Assouline, Rotem
core   +1 more source

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

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 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 Gaussian Brunn-Minkowski inequalities [PDF]

open access: yes, 2008
to appear in Studia MathematicaInternational audienceIn this paper, we are interested in Gaussian versions of the classical Brunn-Minkowski inequality.
Franck Barthe   +3 more
core  

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