B. Murphy

activity

20132020

most citedAn example related to the Erdos-Falconer question over arbitrary finite fields

9 citations · 9 across the 1 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CO2019

Bisector energy and pinned distances in positive characteristic

Brendan Murphy, Misha Rudnev, Sophie Stevens

We prove a new lower bound for the number of pinned distances over finite fields: if $A$ is a sufficiently small subset of $F_{q}^{2}$ , then there is an element in $A$ that de…

math.CO2019

Group Action Combinatorics

Brendan Murphy

This paper generalizes the basic notions of additive and multiplicative combinatorics to the setting of group actions: if $G$ is a group acting on a set $X$ , and we have subsets $A…

math.CO2019★ 9 cited

An example related to the Erdos-Falconer question over arbitrary finite fields

Brendan Murphy, Giorgis Petridis

There exists an infinite family of examples of subsets of $F_{q}^{2}$ with $q^{4/3}$ elements whose distance sets are not the whole of $F_{q}$ .