Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial Linear Eigenvalue Statistics for Wigner and Sample Covariance
  Random Matrices   Let $M_n$ be a $n \times n$ Wigner or sample covariance random matrix, and
let $\mu_1(M_n), \mu_2(M_n), ..., \mu_n(M_n)$ denote the unordered eigenvalues
of $M_n$. We study the fluctuations of the partial linear eigenvalue statistics
$$ \sum_{i=1}^{n-k} f(\mu_i(M_n)) $$ as $n \rightarrow \infty$ for sufficiently
nice test functions $f$. We consider both the case when $k$ is fixed and when
$\min{k,n-k}$ tends to infinity with $n$.

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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int