A Central limit theorem for fluctuations in Polyanalytic Ginibre ensembles

DOI10.1093/imrn/rnx147zbMath1427.82030arXiv1612.07974OpenAlexW2964287566MaRDI QIDQ5243325

Antti Haimi, Aron Wennman

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07974

zbMATH Keywords

point processcentral limit theoremLandau levelGinibre ensembles

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Other physical applications of random processes (60K40) Eigenvalues, singular values, and eigenvectors (15A18) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Random matrices (algebraic aspects) (15B52) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (4)

Normality of smooth statistics for planar determinantal point processes ⋮ On the representation and the uniform polynomial approximation of polyanalytic functions of Gevrey type on the unit disk ⋮ Generalized Wehrl entropies and Euclidean Landau levels ⋮ Local maxima of white noise spectrograms and Gaussian entire functions

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