Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On smooth mesoscopic linear statistics of the eigenvalues of random
  permutation matrices   We study the limiting behavior of smooth linear statistics of the spectrum of
random permutation matrices in the mesoscopic regime, when the permutation
follows one of the Ewens measures on the symmetric group. If we apply a smooth
enough test function $f$ to all the determinations of the eigenangles of the
permutations, we get a convergence in distribution when the order of the
permutation tends to infinity. Two distinct kinds of limit appear: if $f(0)\neq
0$, we have a central limit theorem with a logarithmic variance, and if $f(0) =
0$, the convergence holds without normalization and the limit involves a
scale-invariant Poisson point process.

33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph