Results 71 to 80 of about 489,757 (102)

Quantitative stability for the Brunn–Minkowski inequality

open access: yes, 2019
© 2016 We prove a quantitative stability result for the Brunn–Minkowski inequality: if |A|=|B|=1, t∈[τ,1−τ] with τ>0, and |tA+(1−t)B|1/n≤1+δ for some small δ, then, up to a translation, both A and B are quantitatively close (in terms of δ) to a convex ...
Jerison, David   +2 more
core   +1 more source

On a complementary Minkowski inequality [PDF]

open access: yes, 1979
It is shown that the Brunn-Minkowski inequality can be viewed as a special case of a complementary Minkowski ...
Lutwak, Erwin
core   +1 more source

On the stability of Brunn–Minkowski type inequalities

open access: yes, 2017
We establish the stability near a Euclidean ball of two conjectured inequalities: the dimensional Brunn–Minkowski inequality for radially symmetric log-concave measures in Rn, and of the log-Brunn–Minkowski ...
Livshyts, Galyna V.   +5 more
core   +1 more source

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

open access: yes, 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

Les desigualtats de Brunn-Minkowski

open access: yes, 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.
Oriol Serra
core   +1 more source

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

open access: yes, 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   +1 more
core   +1 more source

A curved Brunn-Minkowski inequality for the symmetric group [PDF]

open access: yes, 2015
In this paper, we construct an injection A×B→M×M from the product of any two nonempty subsets of the symmetric group into the square of their midpoint set, where the metric is that corresponding to the conjugacy class of transpositions.
Novak, Jonathan   +2 more
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  

Brunn-Minkowski inequality and its aftermath

open access: yes
Brunn-Minkowski-Lusternik inequality generalizations, s-unimodal ...
Gupta, Somesh Das
core  

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  

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