166 citations · 655 across the 82 of their papers we have counts for
4 papers · 2 filters
Steiner equiangular tight frames
Matthew Fickus, Dustin G. Mixon, Janet C. Tremain
We provide a new method for constructing equiangular tight frames (ETFs). The construction is valid in both the real and complex settings, and shows that many of the few previously…
Auto-tuning unit norm frames
Peter G. Casazza, Matthew Fickus, Dustin G. Mixon
Finite unit norm tight frames provide Parseval-like decompositions of vectors in terms of redundant components of equal weight. They are known to be exceptionally robust against ad…
The Bourgain-Tzafriri conjecture and concrete constructions of non-pavable projections
Peter G. Casazza, Matthew Fickus, Dustin G. Mixon +1
It is known that the Kadison-Singer Problem (KS) and the Paving Conjecture (PC) are equivalent to the Bourgain-Tzafriri Conjecture (BT). Also, it is known that (PC) fails for -p…
Concrete constructions of non-pavable projections
Peter G. Casazza, Matt Fickus, Dustin Mixon +1
It is known that the paving conjecture fails for 2-paving projections with constant diagonal 1/2. But the proofs of this fact are existence proofs. We will give concrete examples o…