Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of Empirical Spectral Distributions of Large Dimensional
  Quaternion Sample Covariance Matrices   In this paper we establish the limit of the empirical spectral distribution
of quaternion sample covariance matrices. Suppose $\mathbf X_n =
({x_{jk}^{(n)}})_{p\times n}$ is a quaternion random matrix. For each $n$, the
entries $\{x_{ij}^{(n)}\}$ are independent random quaternion variables with a
common mean $\mu$ and variance $\sigma^2>0$. It is shown that the empirical
spectral distribution of the quaternion sample covariance matrix $\mathbf
S_n=n^{-1}\mathbf X_n\mathbf X_n^*$ converges to the M-P law as $p\to\infty$,
$n\to\infty$ and $p/n\to y\in(0,+\infty)$.

10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys