The hyperbolic-type point process

DOI10.2969/jmsj/79417941zbMath1433.60023arXiv1712.04824OpenAlexW2963990234MaRDI QIDQ2302623

Pierre Lazag, Nizar Demni

Publication date: 26 February 2020

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04824

zbMATH Keywords

determinantal point processweighted Bergman kernelPoincaré discGinibre-type point process

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Zeros of the i.i.d. Gaussian Laurent series on an annulus: weighted Szegő kernels and permanental-determinantal point processes ⋮ The affine ensemble: determinantal point processes associated with the \(ax + b\) group ⋮ Entanglement entropy and hyperuniformity of Ginibre and Weyl-Heisenberg ensembles ⋮ Polyanalytic reproducing Kernels on the quantized annulus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The polyanalytic Ginibre ensembles
• Determinantal point processes associated with Hilbert spaces of holomorphic functions
• From random matrices to random analytic functions
• Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes.
• Equivalence of palm measures for determinantal point processes governed by Bergman kernels
• Ginibre-type point processes and their asymptotic behavior
• Generalized second Bargmann transforms associated with the hyperbolic Landau levels on the Poincaré disk
• Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process
• Determinantal random point fields
• Analysis of generalized negative binomial distributions attached to hyperbolic Landau levels
• The coincidence approach to stochastic point processes
• Espaces de Bargmann généralisés et formules explicites pour leurs noyaux reproduisants
• Fluctuations in the Zero Set of the Hyperbolic Gaussian Analytic Function
• Statistical Ensembles of Complex, Quaternion, and Real Matrices