HUN-REN Alfréd Rényi Institute of Mathematics

output

19942026

most citedBrownian distance covariance

857 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2014 · math.MGShow all

8 papers · 2 filters

math.MG2014★ 6 cited

A fractional Helly theorem for boxes

I. Bárány, F. Fodor, A. Martínez-Pérez +3

Let $F$ be a family of $n$ axis-parallel boxes in $R^{d}$ and $α \in (1 - 1/ d, 1]$ a real number. There exists a real number $β (α) > 0$ such that if there are $α{n\choos…

math.MG2014

Isotropic measures, and stronger forms of the reverse isoperimetric inequality

Karoly J. Boroczky, Daniel Hug

A stability version of the reverse isoperimetric inequality, and the corresponding inequality for isotropic measures are established.

math.MG2014★ 17 cited

Squares and their centers

Tamás Keleti, Dániel T. Nagy, Pablo Shmerkin

We study the relationship between the sizes of two sets $B, S \subset R^{2}$ when $B$ contains either the whole boundary, or the four vertices, of a square with axes-parallel…

math.MG2014

Typical curvature behaviour of bodies of constant width

Imre Barany, rolf Schneider

It is known that an $n$ -dimensional convex body which is typical in the sense of Baire category, shows a simple, but highly non-intuitive curvature behaviour: at almost all of its…

math.MG2014★ 5 cited

Double-normal pairs in space

János Pach, Konrad Swanepoel

A double-normal pair of a finite set $S$ of points from $R^{d}$ is a pair of points ${p, q}$ from $S$ such that $S$ lies in the closed strip bounded by the hyperplanes through $p$ a…

math.MG2014★ 7 cited

Bounds for Pach's selection theorem and for the minimum solid angle in a simplex

Roman Karasev, Jan Kynčl, Pavel Paták +2

We estimate the selection constant in the following geometric selection theorem by Pach: For every positive integer $d$ there is a constant $c_{d} > 0$ such that whenever $X_1,..., X…

math.MG2014

Affine diameters of convex bodies

Imre Barany, Daniel Hug, Rolf Schneider

We prove sharp inequalities for the average number of affine diameters through the points of a convex body $K$ in $R^{n}$ . These inequalities hold if $K$ is either a polyto…

math.MG2014

Unions of regular polygons with large perimeter-to-area ratio

Viktor Kiss, Zoltán Vidnyánszky

T. Keleti asked, whether the ratio of the perimeter and the area of a finite union of unit squares is always at most 4. In this paper we present an example where the ratio is great…