Ben D. Lund

activity

20102026

most citedOn distinct perpendicular bisectors and pinned distances in finite fields

19 citations · 82 across the 27 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CO2019★ 4 cited

Simple proofs for Furstenberg sets over finite fields

Manik Dhar, Zeev Dvir, Ben Lund

A $(k, m)$ -Furstenberg set $S \subset F_{q}^{n}$ over a finite field is a set that has at least $m$ points in common with a $k$ -flat in every direction. The question of determi…

math.CO2019

Furstenberg sets in finite fields: Explaining and improving the Ellenberg-Erman proof

Manik Dhar, Zeev Dvir, Ben Lund

A $(k, m)$ -Furstenberg set is a subset $S \subset F_{q}^{n}$ with the property that each $k$ -dimensional subspace of $F_{q}^{n}$ can be translated so that it intersects $S…

math.CO2019

Perfect matchings and derangements on graphs

Matija Bucic, Pat Devlin, Mo Hendon +2

We show that each perfect matching in a bipartite graph $G$ intersects at least half of the perfect matchings in $G$ . This result has equivalent formulations in terms of the perman…