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 2014Show all

4 papers · 1 filter

math.CO2014★ 19 cited

On distinct perpendicular bisectors and pinned distances in finite fields

Brandon Hanson, Ben Lund, Oliver Roche-Newton

Given a set of points $P \subset F_{q}^{2}$ such that $∣ P ∣ \geq q^{3/2}$ it is established that $∣ P ∣$ determines $Ω (q^{2})$ distinct perpendicular bisectors. It is also proven tha…

math.CO2014★ 4 cited

Bisector energy and few distinct distances

Ben Lund, Adam Sheffer, Frank de Zeeuw

We introduce the bisector energy of an $n$ -point set $P$ in $R^{2}$ , defined as the number of quadruples $(a, b, c, d)$ from $P$ such that $a$ and $b$ determine the same perpen…

math.CO2014

Elementary methods for incidence problems in finite fields

Javier Cilleruelo, Alex Iosevich, Ben Lund +2

We use elementary methods to prove an incidence theorem for points and spheres in $F_{q}^{n}$ . As an application, we show that any point set of $P \subset F_{q}^{2}$ with…

math.CO2014★ 7 cited

Incidence Bounds for Block Designs

Ben Lund, Shubhangi Saraf

We prove three theorems giving extremal bounds on the incidence structures determined by subsets of the points and blocks of a balanced incomplete block design (BIBD). These result…