Results 101 to 110 of about 489,827 (153)

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
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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

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.
Oriol Serra
core   +1 more source

Almost-Riemannian manifolds do not satisfy the curvature-dimension condition. [PDF]

Calc Var Partial Differ Equ, 2023
Magnabosco M, Rossi T.
europepmc   +1 more source

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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A curved Brunn--Minkowski inequality on the discrete hypercube

, 2010
Latest version: improved constants, minor ...
Ollivier, Yann, Villani, Cédric
openaire   +4 more sources

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

, 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, Neeranartvong, Weerachai, Sothanaphan, Nat   +2 more
core  

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  

A Two-Moment Inequality with Applications to Rényi Entropy and Mutual Information. [PDF]

Entropy (Basel), 2020
Reeves G.
europepmc   +1 more source

Brunn-Minkowski inequality and its aftermath

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