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math.FA2026
An algorithm to exactly compute minimal upper bounds in the Loewner order
Adam Humeniuk, Gabriel Jarry-Bolduc, Patrick Pascua +1
The Loewner order on Hermitian matrices is a partial order that compares matrices in terms of positive semidefiniteness. The Loewner order plays a key role in many fields such as o…
math.FA2024
Diffraction of the primes and other sets of zero density
Adam Humeniuk, Christopher Ramsey, Nicolae Strungaru
In this paper, we show that the diffraction of the primes is absolutely continuous, showing no bright spots (Bragg peaks). We introduce the notion of counting diffraction, extendin…