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math.FA2025
On the existence of large subspaces of that perform stable phase retrieval
Enrique García-Sánchez, David de Hevia, Mitchell Taylor
The purpose of this article is to address an open problem posed by Freeman-Oikhberg-Pineau-T.~(\textit{Math.~Ann.}~2024) regarding the existence of large subspaces of that p…
math.SP2025
Sharp bounds on the failure of the hot spots conjecture
Jaume de Dios Pont, Alexander W. Hsu, Mitchell A. Taylor
The hot spots ratio of a domain measures the degree of failure of Rauch's hot spots conjecture on that domain. We identify the largest possible value of thi…