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math.MG2024
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…
math.MG2024
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…
math.MG2024
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…