1 citations · 3 across the 17 of their papers we have counts for
8 papers · 1 filter
Translational tilings by axis-parallel polygonal sets
Jaume de Dios Pont, Jan Grebík, Rachel Greenfeld +1
The periodic tiling conjecture asserts that if a bounded set of finite measure tiles by translations, then it admits at least one fully periodi…
Phase retrieval from a uniformly discrete point set
Jaume de Dios Pont, Josef Greilhuber, Lukas Liehr +1
We prove that for every window of the form , where is a polynomial, there exists a uniformly discrete set of points $\mathcal{S} \subset \mathbb R^…
Counterexamples to Schiffer's Conjecture
Gonzalo Cao-Labora, Jaume de Dios Pont
The Schiffer conjecture states that if a smooth domain admits a Neumann eigenfunction of the Laplacian which is constant at the boundary, then the domain is…
Geometric Dyson Brownian Motions and the Free Log-Normal Limit for a Non-Square Gaussian Matrix Product
Mufan Li, Jaume de Dios Pont, Mihai Nica +1
We study the squared singular value spectrum of a non-square product of independent real Gaussian matrices, equivalently the feature covariance spectrum of a deep linear neural net…
Cantor measures with odd base do not admit Fourier frames
Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor
We prove that the Cantor measure with base does not admit a Fourier frame whenever is an odd integer. In particular, this answers a question of Strichartz on the existe…
Stable Phase Retrieval for Spans of Independent Random Variables
Pedro Abdalla, Jaume de Dios Pont, João P. G. Ramos +1
We prove that, after normalization, stable phase retrieval holds over the -spans of independent real-valued centered random variables if and only if all but possibly one…
On the existence problem of regular Gabor frames
Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor
For every dimension , we establish explicit criteria on lattices with density such that no function with a continuous Zak transform gen…
-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…