12 citations · 12 across the 6 of their papers we have counts for
6 papers · 1 filter
Testing isomorphism between tuples of subspaces
Emily J. King, Dustin G. Mixon, Shayne Waldron
Given two tuples of subspaces, can you tell whether the tuples are isomorphic? We develop theory and algorithms to address this fundamental question. We focus on isomorphisms in wh…
Asymmetric SICs over finite fields
Joseph W. Iverson, Dustin G. Mixon
Zauner's conjecture concerns the existence of equiangular lines in ; such a system of lines is known as a SIC. In this paper, we construct infinitely many new S…
Estimating the Euclidean distortion of an orbit space
Ben Blum-Smith, Harm Derksen, Dustin G. Mixon +2
Given a finite-dimensional inner product space and a group of isometries, we consider the problem of embedding the orbit space into a Hilbert space in a way that pres…
More on the optimal arrangement of lines in
Joseph W. Iverson, John Jasper, Dustin G. Mixon
We introduce a new infinite family of equiangular tight frames. Many matrices in this family consist of two circulant blocks. We conjecture that such equia…
The nerd snipers problem
Boris Alexeev, Dustin G. Mixon
We correct errors that appear throughout "The vicious neighbour problem" by Tao and Wu. We seek to solve the following problem. Suppose nerds are distributed uniformly at rando…
Optimal codes in the Stiefel manifold
John Jasper, Nathan Mankovich, Dustin G. Mixon
We consider the coding problem in the Stiefel manifold with chordal distance. After considering various low-dimensional instances of this problem, we use Rankin's bounds on spheric…