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math.FA2026
A height transportation approach to the quantitative Prékopa--Leindler inequality
João Miguel Machado, João P. G. Ramos
We give a new, simpler proof of sharp stability for the Prékopa--Leindler inequality. In contrast to the main arguments from Figalli, van Hintum and Tiba~\cite{FigalliVanHintumTiba…
math.FA2026
-Stability for STFT phase retrieval
Susanna Bertolini, Jaume de Dios Pont, Ben Pineau +2
We prove that the short-time Fourier transform with Gaussian window performs -local stable phase retrieval at the constant function. The proof involved significant interplay b…
math.FA2024
Uniform stability of concentration inequalities and applications
Jaime Gómez, David Kalaj, Petar Melentijević +1
We prove a sharp quantitative version of recent Faber-Krahn inequalities for the continuous Wavelet transforms associated to a certain family of Cauchy wavelet windows . Our result…