Zobrazeno 1 - 10
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pro vyhledávání: '"Abreu, Luís Daniel"'
Autor:
Abreu, Luís Daniel
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 in that region. Therefore, such DPPs satisfy an area law if they are of
Externí odkaz:
http://arxiv.org/abs/2305.06336
Autor:
Abreu, Luís Daniel
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 := [Adv. Math. 407, Article ID 108564, 22 p. (2022)] is included in the
Externí odkaz:
http://arxiv.org/abs/2212.08443
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 geometry of the underlying space. The results provide deterministic gu
Externí odkaz:
http://arxiv.org/abs/2210.13056
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 function {\psi}. We obtain the asymptotic behavior of the variance, the e
Externí odkaz:
http://arxiv.org/abs/2210.08214
Autor:
Abreu, Luis Daniel
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, modulus of weighted Gaussian Entire Functions), a consequence of the conje
Externí odkaz:
http://arxiv.org/abs/2210.06721
We provide the foundations of a Hilbert space theory for the short-time Fourier transform (STFT) where the flat tori \begin{equation*} \mathbb{T}_{N}^2=\mathbb{R}^2/(\mathbb{Z}\times N\mathbb{Z})=[0,1]\times \lbrack 0,N] \end{equation*} act as phase
Externí odkaz:
http://arxiv.org/abs/2209.04191
Publikováno v:
In Applied and Computational Harmonic Analysis January 2025 74
Motivated by results of Dyatlov on Fourier uncertainty principles for Cantor sets and by similar results of Knutsen for joint time-frequency representations (i.e., the short-time Fourier transform (STFT) with a Gaussian window, equivalent to Fock spa
Externí odkaz:
http://arxiv.org/abs/2201.11705
We provide a solution to Perelomov's 1972 problem concerning the existence of a phase transition (known in signal analysis as 'Nyquist rate') determining the basis properties of certain affine coherent states labelled by Fuchsian groups. As suggested
Externí odkaz:
http://arxiv.org/abs/2012.11314
We obtain a characterization of all wavelets leading to analytic wavelet transforms (WT). The characterization is obtained as a by-product of the theoretical foundations of a new method for wavelet phase reconstruction from magnitude-only coefficient
Externí odkaz:
http://arxiv.org/abs/1906.00738