Results 91 to 100 of about 543,197 (136)

On Gaussian Brunn-Minkowski inequalities

, 2008
In this paper, we are interested in Gaussian versions of the classical Brunn-Minkowski inequality. We prove in a streamlined way a semigroup version of the Ehrard inequality for $m$ Borel or convex sets based on a previous work by Borell. Our method also allows us to have semigroup proofs of the geometric Brascamp-Lieb inequality and of the reverse one
Barthe, Franck, Huet, Nolwen
openaire   +3 more sources

Λογαριθμική ανισότητα Brunn-Minkowski και το λογαριθμικό πρόβλημα Minkowski [PDF]

, 2017
Η θεωρία Brunn-Minkowski βασίζεται στη σύνδεση του αθροίσματος Minkowski κυρτών σωμάτων με τον όγκο. Κεντρικό ρόλο σε αυτή τη θεωρία έχουν η ανισότητα Brunn-Minkowski και οι μεικτοί όγκοι του Minkowski. Η αντικατάσταση του αθροίσματος Minkowski από άλλου
Καλαντζόπουλος Παύλος, Kalantzopoulos Pavlos   +1 more
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Horocyclic Brunn-Minkowski inequality

Advances in Mathematics
Given two non-empty subsets $A$ and $B$ of the hyperbolic plane $\mathbb{H}^2$, we define their horocyclic Minkowski sum with parameter $λ=1/2$ as the set $[A:B]_{1/2} \subseteq \mathbb{H}^2$ of all midpoints of horocycle curves connecting a point in $A$ with a point in $B$.
Assouline, Rotem, Klartag, Bo'az
openaire   +3 more sources

Stability of the log-Brunn-Minkowski inequality in the case of many hyperplane symmetries [PDF]

In the case of symmetries with respect to n independent linear hyperplanes, a stability version of the logarithmic Brunn-Minkowski inequality and the logarithmic Minkowski inequality for convex bodies is ...
Boroczky, Karoly, De, Apratim
core   +1 more source

Orlicz mixed radial Blaschke–Minkowski homomorphisms

, 2020
Our main aim is to generalize the mixed radial Blaschke–Minkowski homomorphisms to the Orlicz space. By calculating first-order variation of the harmonic p-dual quermassintegrals of mixed radial Blaschke–Minkowski homomorphisms, we introduce a new affine
Cheung, WS, Zhao, CJ
core   +1 more source

Brunn-Minkowski inequality and its aftermath

Brunn-Minkowski-Lusternik inequality generalizations, s-unimodal ...
Gupta, Somesh Das
core  

A Brunn–Minkowski inequality for the Monge–Ampère eigenvalue

Advances in Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On the Brunn-Minkowski and Aleksandrov-Fenchel Inequalities [PDF]

, 2014
The Brunn-Minkowski inequality has a wide range of generalizations and its applications spread throughout many mathematical fields. Using a inequality by Brascamp-Lieb a functional version of Brunn-Minkowski is found in Prekopa's theorem and the ...
Larsson, Simon
core   +1 more source

On Multiple $$L_p$$-Curvilinear-Brunn–Minkowski Inequalities

The Journal of Geometric Analysis
Abstract We construct the extension of the curvilinear summation for bounded Borel measurable sets to the $$L_p$$ L p
Michael Roysdon, Sudan Xing
openaire   +3 more sources

Les desigualtats de Brunn-Minkowski

, 2012
Aquest article fa una exposició de la desigualtat de Brunn-Minkowski, que relaciona la mesura de la suma de dos conjunts amb la dels seus sumands, i d'algunes de les seves variants.
Serra, Oriol
core   +1 more source