Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectra of Overlapping Wishart Matrices and the Gaussian Free Field   Consider a doubly-infinite array of iid centered variables with moment
conditions, from which one can extract a finite number of rectangular,
overlapping submatrices, and form the corresponding Wishart matrices. We show
that under basic smoothness assumptions, centered linear eigenstatistics of
such matrices converge jointly to a Gaussian vector with an interesting
covariance structure. This structure, which is similar to those appearing in
work of Borodin, Borodin and Gorin, and Johnson and Pal can be described in
terms of the height function, and leads to a connection with the Gaussian Free
Field on the upper half-plane. Finally, we generalize our results from
univariate polynomials to a special class of planar functions.

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The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas