Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence rates of the spectral distributions of large random
  quaternion self-dual Hermitian matrices   In this paper, convergence rates of the spectral distributions of quaternion
self-dual Hermitian matrices are investigated. We show that under conditions of
finite 6th moments, the expected spectral distribution of a large quaternion
self-dual Hermitian matrix converges to the semicircular law in a rate of
$O(n^{-1/2})$ and the spectral distribution itself converges to the
semicircular law in rates $O_p(n^{-2/5})$ and $O_{a.s.}(n^{-2/5+\eta})$. Those
results include GSE as a special case.

14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys