Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diophantine Exponents of Affine Subspaces: The Simultaneous
  Approximation Case   We apply nondivergence estimates for flows on homogeneous spaces to compute
Diophantine exponents of affine subspaces of $\R^n$ and their nondegenerate
submanifolds.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg