@inproceedings{519b7413ae76464f8290719f0619a895,
title = "The Weyl-Heisenberg ensemble: Statistical mechanics meets time-frequency analysis",
abstract = "We present our recent work on the Weyl-Heisenberg ensemble and its statistical properties [4]. The WH ensemble is a class of determinantal point processes associated with the Schr{\"o}dinger representation of the Heisenberg group. As a special example, WH ensembles include a multi-layer extension of the Ginibre ensemble modeling the distribution of electrons in higher Landau levels. We describe the hyperuniformity of WH ensembles, which characterizes a state of matter for which (scaled) density fluctuations diminish towards zero at the largest length scales. Our approach is based on methods from time-frequency analysis. We introduce the main results from [4] highlighting time-frequency techniques and connections to the theory of polyanalytic functions, and also present some small extensions.",
keywords = "Weyl-Heisenberg ensemble, disorder, fluctuations, higher Landau levels, hyperuniformity",
author = "Abreu, {Lu{\'i}s Daniel} and Jo{\~a}o Pereira and Romero, {Jose Luis} and Salvatore Torquato",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 12th International Conference on Sampling Theory and Applications, SampTA 2017 ; Conference date: 03-07-2017 Through 07-07-2017",
year = "2017",
month = sep,
day = "1",
doi = "10.1109/SAMPTA.2017.8024413",
language = "English (US)",
series = "2017 12th International Conference on Sampling Theory and Applications, SampTA 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "199--202",
editor = "Gholamreza Anbarjafari and Andi Kivinukk and Gert Tamberg",
booktitle = "2017 12th International Conference on Sampling Theory and Applications, SampTA 2017",
address = "United States",
}