Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic subordination theory of operator-valued free additive
  convolution and the solution of a general random matrix problem   We develop an analytic theory of operator-valued additive free convolution in
terms of subordination functions. In contrast to earlier investigations our
functions are not just given by power series expansions, but are defined as
Frechet analytic functions in all of the operator upper half plane.
Furthermore, we do not have to assume that our state is tracial. Combining this
new analytic theory of operator-valued free convolution with Anderson's
selfadjoint version of the linearization trick we are able to provide a
solution to the following general random matrix problem: How can we calculate
the asymptotic eigenvalue distribution of a polynomial evaluated in independent
random matrices with known asymptotic eigenvalue distributions?

7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
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