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Subjects
52-XX Convex and discrete geometry
52Axx General convexity
52A40 Inequalities and extremum problems

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Packing of 180 equal circles on a sphere.

Tibor Tarnai (1983)

Elemente der Mathematik

Penny-Packing and Two-Dimensional Codes.

N.J.A. Sloane, R.L. Graham (1990)

Discrete & computational geometry

Poincaré Inequalities and Moment Maps

Bo’az Klartag (2013)

Annales de la faculté des sciences de Toulouse Mathématiques

We discuss a method for obtaining Poincaré-type inequalities on arbitrary convex bodies in $ℝ^{n}$ . Our technique involves a dual version of Bochner’s formula and a certain moment map, and it also applies to some non-convex sets. In particular, we generalize the central limit theorem for convex bodies to a class of non-convex domains, including the unit balls of $ℓ_{p}$ -spaces in $ℝ^{n}$ for $0 < p < 1$ .

Currently displaying 1 – 3 of 3

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