Isomorphisms between determinantal point processes with translation-invariant kernels and Poisson point processes
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2020.123
Abstract: Abstract We prove the Bernoulli property for determinantal point processes on $ \mathbb{R}^d $ with translation-invariant kernels. For the determinantal point processes on $ \mathbb{Z}^d $ with translation-invariant kernels, the Bernoulli property was proved by… read more here.
Keywords: point processes; point; translation invariant; invariant kernels ... See more keywords
Accumulated spectrograms for hyperuniform determinantal point processes
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DOI: 10.1063/5.0211203
Abstract: We define the accumulated spectrogram associated to a locally trace–class orthogonal projection operator and a bounded set using the polar decomposition of its restriction on that set. We prove a convergence theorem for accumulated spectrograms… read more here.
Keywords: point processes; spectrograms hyperuniform; determinantal point; accumulated spectrograms ... See more keywords
Local number variances and hyperuniformity of the Heisenberg family of determinantal point processes
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/abecaa
Abstract: The bulk scaling limit of eigenvalue distribution on the complex plane C of the complex Ginibre random matrices provides a determinantal point process (DPP). This point process is a typical example of disordered hyperuniform system… read more here.
Keywords: determinantal point; heisenberg family; family; number ... See more keywords