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 2015 · math.MGShow all

6 papers · 2 filters

math.MG2015★ 8 cited

Algebraic vertices of non-convex polyhedra

Arseniy Akopyan, Imre Bárány, Sinai Robins

In this article we define an algebraic vertex of a generalized polyhedron and show that it is the smallest set of points needed to define the polyhedron. We prove that the indicato…

math.MG2015

Centrally symmetric convex bodies and sections having maximal quermassintegrals

E. Makai, H. Martini

Let $d \geq 2$ , and let $K \subset R^{d}$ be a convex body containing the origin $0$ in its interior. In a previous paper we have proved the following. The body $K$ is $0$ -sym…

math.MG2015★ 1 cited

Positive-fraction intersection results and variations of weak epsilon-nets

Alexander Magazinov, Pablo Soberón

Given a finite set $X$ of points in $R^{n}$ and a family $F$ of sets generated by the pairs of points of $X$ , we determine volumetric and structural conditions for the sets that allo…

math.MG2015★ 8 cited

The packing density of the $n$ -dimensional cross-polytope

G. Fejes Tóth, F. Fodor, V. Vígh

The packing density of the regular cross-polytope in Euclidean $n$ -space is unknown except in dimensions $2$ and $4$ where it is 1. The only non-trivial upper bound is due to Grave…

math.MG2015

Small subset sums

Gergely Ambrus, Imre Barany, Victor Grinberg

Let ||.|| be a norm in R^d whose unit ball is B. Assume that V\subset B is a finite set of cardinality n, with \sum_{v \in V} v=0. We show that for every integer k with 0 \le k \le…

math.MG2015★ 10 cited

Better bounds for planar sets avoiding unit distances

Tamás Keleti, Máté Matolcsi, Fernando Mário de Oliveira Filho +1

A $1$ -avoiding set is a subset of $R^{n}$ that does not contain pairs of points at distance $1$ . Let $m_{1} (R^{n})$ denote the maximum fraction of $R^{n}$ that c…