Hyperuniform states of matter are correlated systems that are characterized by an
anomalous suppression of long-wavelength (ie, large-length-scale) density fluctuations …

We consider 2-dimensional determinantal processes that are rotationinvariant and study the
fluctuations of the number of points in disks. Based on the theory of mod-phi convergence …

This open access book focuses on the Ginibre ensembles that are non-Hermitian random
matrices proposed by Ginibre in 1965. Since that time, they have enjoyed prominence within …

In a recent paper, Flandrin [16] proposed filtering based on the zeros of a spectrogram with
Gaussian window. His results are based on empirical observations on the distribution of the …

We obtain estimates for the L p-norm of the short-time Fourier transform (STFT) for functions
in modulation spaces, providing information about the concentration on a given subset of R …

We prove variants of Wiener's Tauberian theorem in the framework of quantum harmonic
analysis, ie for convolutions between an absolutely integrable function and a trace class …

The Zhang–Torquato conjecture [G. Zhang and S. Torquato, Phys. Rev. E, 2020, 101,
032124.] states that any realizable pair correlation function g2 (r) or structure factor S (k) of a …

The capacity to identify realizable many-body configurations associated with targeted
functional forms for the pair correlation function g 2 (r) or its corresponding structure factor S …

Weyl–Heisenberg ensembles are translation-invariant determinantal point processes on R^
2d R 2 d associated with the Schrödinger representation of the Heisenberg group, and …

Disordered hyperuniform many-body systems are exotic states of matter with novel optical,
transport, and mechanical properties. These systems are characterized by an anomalous …