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- W2753582600 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 Schrodinger 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." @default.
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- W2753582600 date "2017-07-01" @default.
- W2753582600 modified "2023-10-15" @default.
- W2753582600 title "The Weyl-Heisenberg ensemble: Statistical mechanics meets time-frequency analysis" @default.
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- W2753582600 doi "https://doi.org/10.1109/sampta.2017.8024413" @default.
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