A. Bruner

activity

20162026

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math.CO2025

A note on the distinct distances problem over finite fields

Nataly Brukhim, Ariel Bruner, Orit E. Raz

We study a finite-field analogue of the Erdős distinct distances problem under the Hamming metric. For a set $S\subseteq \mathbb{F}_q^n$ let $Δ (S)$ denote the set of Hamming dist…

math.CO2016

Distinct distances between a collinear set and an arbitrary set of points

Ariel Bruner, Micha Sharir

We consider the number of distinct distances between two finite sets of points in $R^{k}$ , for any constant dimension $k \geq 2$ , where one set $P_{1}$ consists of $n$ points on a…