Gergely Ambrus

activity

20092026

most citedAnalytic and Probabilistic Problems in Discrete Geometry

20 citations · 76 across the 28 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.MG2023★ 1 cited

Non-diagonal critical central sections of the cube

Gergely Ambrus, Barnabás Gárgyán

We study the $(n - 1)$ -dimensional volume of central hyperplane sections of the $n$ -dimensional cube $Q_{n}$ . Our main goal is two-fold: first, we provide an alternative, simpler argum…

math.MG2023★ 3 cited

Colorful Vector Balancing

Gergely Ambrus, Rainie Bozzai

We extend classical estimates for the vector balancing constant of $R^{d}$ equipped with the Euclidean and the maximum norms proved in the 1980's by showing that for $p = 2$ …

math.CO2023

On Helly numbers of exponential lattices

Gergely Ambrus, Martin Balko, Nóra Frankl +2

Given a set $S \subseteq R^{2}$ , define the \emph{Helly number of $S$ }, denoted by $H (S)$ , as the smallest positive integer $N$ , if it exists, for which the following statem…