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math.MG2021★ 2 cited
Three proofs of the Benedetto-Fickus theorem
Dustin G. Mixon, Tom Needham, Clayton Shonkwiler +1
In 2003, Benedetto and Fickus introduced a vivid intuition for an objective function called the frame potential, whose global minimizers are fundamental objects known today as unit…
math.MG2021
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…