Imre B'ar'any

activity

19992004

most citedRandom points, convex bodies, lattices

2 citations · 2 across the 2 of their papers we have counts for

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3 papers · 1 filter

math.CO2004

Balanced Partitions of Vector Sequences

Imre Bárány, Benjamin Doerr

Let $d, r \in N$ , $∥ \cdot ∥$ any norm on $R^{d}$ and $B$ denote the unit ball with respect to this norm. We show that any sequence $v_{1}, v_{2}, ...$ of vectors in $B$ can be partition…

math.CO2003★ 2 cited

Random points, convex bodies, lattices

Imre Bárány

Assume $K$ is a convex body in $R^{d}$ , and $X$ is a (large) finite subset of $K$ . How many convex polytopes are there whose vertices come from $X$ ? What is the typical shape of such…

math.CO1999

Universal Counting of Lattice Points in Polytopes

Imre Bárány, Jean-Michel Kantor

Given a lattice polytope $P$ (with underlying lattice $\lo$), the universal counting function $\uu_P(\lo')=|P\cap \lo'|$ is defined on all lattices $\lo'$ containing $\lo$. Motivat…