Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proof Methods in Random Matrix Theory   In this survey article, we give an introduction to two methods of proof in
random matrix theory: The method of moments and the Stieltjes transform method.
We thoroughly develop these methods and apply them to show both the semicircle
law and the Marchenko-Pastur law for random matrices with independent entries.
The material is presented in a pedagogical manner and is suitable for anyone
who has followed a course in measure-theoretic probability theory.

1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
19
The categories of this paper are: eess
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
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org