Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the concentration of random multilinear forms and the universality of
  random block matrices   The circular law asserts that if $X_n$ is a $n \times n$ matrix with iid
complex entries of mean zero and unit variance, then the empirical spectral
distribution of $\frac{1}{\sqrt{n}} X_n$ converges almost surely to the uniform
distribution on the unit disk as $n$ tends to infinity. Answering a question of
Tao, we prove the circular law for a general class of random block matrices
with dependent entries. The proof relies on an inverse-type result for the
concentration of linear operators and multilinear forms.

16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio