1 citations · 3 across the 17 of their papers we have counts for
18 papers
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…
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…
Convex sets can have interior hot spots
Jaume de Dios Pont
The hot spots conjecture asserts that for any convex bounded domain in , the first non-trivial Neumann eigenfunction of the Laplace operator in attains its max…
Predicting quantum channels over general product distributions
Sitan Chen, Jaume de Dios Pont, Jun-Ting Hsieh +3
We investigate the problem of predicting the output behavior of unknown quantum channels. Given query access to an -qubit channel and an observable , we aim to learn the…
Query lower bounds for log-concave sampling
Sinho Chewi, Jaume de Dios Pont, Jerry Li +2
Log-concave sampling has witnessed remarkable algorithmic advances in recent years, but the corresponding problem of proving lower bounds for this task has remained elusive, with l…
A new proof of the description of the convex hull of space curves with totally positive torsion
Jaume de Dios Pont, Paata Ivanisvili, José Madrid
We give new proofs of the description convex hulls of space curves having totally positive torsion. These are curves such that all the leading pri…
Additive energies on discrete cubes
Jaume de Dios Pont, Rachel Greenfeld, Paata Ivanisvili +1
We prove that for and , for any subset of a discrete cube , the higher energy of (the number of tuples in $A…
On classical inequalities for autocorrelations and autoconvolutions
Jaume de Dios Pont, José Madrid
In this paper we study an autocorrelation inequality proposed by Barnard and Steinerberger. The study of these problems is motivated by a classical problem in additive combinatoric…
Decoupling for fractal subsets of the parabola
Alan Chang, Jaume de Dios Pont, Rachel Greenfeld +3
We consider decoupling for a fractal subset of the parabola. We reduce studying decoupling for a fractal subset on the parabola to stu…
A geometric lemma for complex polynomial curves with applications in Fourier restriction theory
Jaume de Dios Pont
The aim of this paper is to prove a uniform Fourier restriction estimate for certain dimensional surfaces in . These surfaces are the image of complex polynomia…
Role Detection in Bicycle-Sharing Networks Using Multilayer Stochastic Block Models
Jane Carlen, Jaume de Dios Pont, Cassidy Mentus +3
In urban spatial networks, there is an interdependency between neighborhood roles and the transportation methods between neighborhoods. In this paper, we classify docking stations…