19 citations · 82 across the 27 of their papers we have counts for
6 papers · 1 filter
Distinct spreads in vector spaces over finite fields
Ben Lund, Thang Pham, Le Anh Vinh
In this short note, we study the distribution of spreads in a point set , which are analogous to angles in Euclidean space. More precisely, we…
Convex cones, integral zonotopes, limit shape
Imre Bárány, Julien Bureaux, Ben Lund
This paper is about integral zonotopes. It is proven that large zonotopes in a convex cone have a limit shape, meaning that, after suitable scaling, the overwhelming majority of th…
Finite field Kakeya and Nikodym sets in three dimensions
Ben Lund, Shubhangi Saraf, Charles Wolf
We give improved lower bounds on the size of Kakeya and Nikodym sets over . We also propose a natural conjecture on the minimum number of points in the union of a n…
An improved bound on
Ben Lund
We show that, for a finite set of real numbers, the size of the set is bounded from below by…
A refined energy bound for perpendicular bisectors
Ben Lund
Let be a set of points in the Euclidean plane. We prove that, for any , either a single line or circle contains points of , or the number…
Essential dimension and the flats spanned by a point set
Ben Lund
Let be a finite set of points in or . We answer a question of Purdy on the conditions under which the number of hyperplanes spanned by is at le…