Results 81 to 90 of about 503,781 (127)
Brunn-Minkowski inequalities for sprays on surfaces [PDF]
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
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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 Two-Moment Inequality with Applications to Rényi Entropy and Mutual Information. [PDF]
Reeves G.
europepmc +1 more source
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.
core
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
Some inequalities for ( p , q ) -mixed volume. [PDF]
Chen B, Wang W.
europepmc +1 more source
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
core
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
core
On Gaussian Brunn-Minkowski inequalities [PDF]
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
The Pólya-Szegö principle and the anisotropic convex Lorentz-Sobolev inequality. [PDF]
Liu S, He B.
europepmc +1 more source

