40 citations · 207 across the 29 of their papers we have counts for
32 papers
Non-asymptotic bounds for the average singular value of a complex Gaussian matrix
Luis Daniel Abreu, Pratik Patil
Let be a matrix with independent standard complex Gaussian entries, let be the expected average singular value of , and set…
Entanglement entropy and hyperuniformity of Ginibre and Weyl-Heisenberg ensembles
Luís Daniel Abreu
We show that, for a class of planar determinantal point processes (DPP) X, the entanglement entropy of X on a compact region grows exactly at the rate of the variance fluctuation i…
Comment on 'Comment on 'Affine density, von Neumann dimension and a problem of Perelomov"
Luís Daniel Abreu
In the Letter 'Comment on 'Affine density, von Neumann dimension and a problem of Perelomov', arXiv.2211.04879, by Prof. J. L. Romero, it is claimed that the main theorem of Ref2 :…
The affine ensemble: determinantal point processes associated with the ax+b group
Luis Daniel Abreu, Peter Balazs, Smiljana Jakšić
We introduce the affine ensemble, a class of determinantal point processes (DPP) in the half-plane C^+ associated with the ax+b (affine) group, depending on an admissible Hardy fun…
Local maxima of white noise spectrograms and Gaussian Entire Functions
Luis Daniel Abreu
We confirm Flandrin's prediction for the expected average of local maxima of spectrograms of complex white noise with Gaussian windows (Gaussian spectrograms or, equivalently, modu…
Donoho-Logan large sieve principles for the wavelet transform
Luís Daniel Abreu, Michael Speckbacher
In this paper we formulate Donoho and Logan's large sieve principle for the wavelet transform on the Hardy space, adapting the concept of maximum Nyquist density to the hyperbolic…