Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Central Limit Theorem for Fluctuations in Polyanalytic Ginibre
  Ensembles   We study fluctuations of linear statistics in Polyanalytic Ginibre ensembles,
a family of point processes describing planar free fermions in a uniform
magnetic field at higher Landau levels. Our main result is asymptotic normality
of fluctuations, extending a result of Rider and Vir\'ag. As in the analytic
case, the variance is composed of independent terms from the bulk and the
boundary. Our methods rely on a structural formula for polyanalytic polynomial
Bergman kernels which separates out the different pure $q$-analytic kernels
corresponding to different Landau levels. The fluctuations with respect to
these pure $q$-analytic Ginibre ensembles are also studied, and a central limit
theorem is proved. The results suggest a stabilizing effect on the variance
when the different Landau levels are combined together.

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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th