Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluctuations for linear eigenvalue statistics of sample covariance
  matrices   We prove a central limit theorem for the difference of linear eigenvalue
statistics of a sample covariance matrix $\widetilde{W}$ and its minor $W$. We
find that the fluctuation of this difference is much smaller than those of the
individual linear statistics, as a consequence of the strong correlation
between the eigenvalues of $\widetilde{W}$ and $W$. Our result identifies the
fluctuation of the spatial derivative of the approximate Gaussian field in the
recent paper by Dumitru and Paquette. Unlike in a similar result for Wigner
matrices, for sample covariance matrices the fluctuation may entirely vanish.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn