Results 71 to 80 of about 489,757 (102)
Quantitative stability for the Brunn–Minkowski inequality
© 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
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On a complementary Minkowski inequality [PDF]
It is shown that the Brunn-Minkowski inequality can be viewed as a special case of a complementary Minkowski ...
Lutwak, Erwin
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On the stability of Brunn–Minkowski type inequalities
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
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On the Brunn-Minkowski and Aleksandrov-Fenchel Inequalities [PDF]
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
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Les desigualtats de Brunn-Minkowski
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
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Λογαριθμική ανισότητα Brunn-Minkowski και το λογαριθμικό πρόβλημα Minkowski [PDF]
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
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A curved Brunn-Minkowski inequality for the symmetric group [PDF]
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
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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.
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Brunn-Minkowski inequality and its aftermath
Brunn-Minkowski-Lusternik inequality generalizations, s-unimodal ...
Gupta, Somesh Das
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An Equivalence of Dual Brunn-Minkowski Inequality for Volume Differences
We establish an equivalence form of the dual Brunn-Minkowski inequality for volume differences, which was established in Geom.
Zhao, C, Cheung, WS
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