Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The KAM theorem through Dirichlet's box and Khintchine's transference
  principles   In this paper, we give a new proof of the classical KAM theorem which avoids
small divisors and relies on two basic principles of Diophantine approximation:
Dirichlet's box and Khintchine transference principles.

3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg