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math.CA2025
Cheeger's Constant for the Gabor Transform and Ripples
Rima Alaifari, Ben Pineau, Mitchell A. Taylor +1
We discover a new instability mechanism for short-time Fourier transform phase retrieval which yields that for any reasonable window function in any dimension , the local st…
math.AP2025
On the optimal Sobolev threshold for evolution equations with rough nonlinearities
Ben Pineau, Mitchell A. Taylor
In this article we are concerned with evolution equations of the form \begin{equation*} \partial_tu-A(D)u=F(u,\overline{u},\nabla u, \nabla \overline{u}) \end{equation*} where $A(D…