Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minoration of the complexity function associated to a translation on the
  torus   We show that the complexity function $p_k(n)$ of a piecewise translation map
conjugated to a minimal translation on the torus $\TT^k = \RR^k / \ZZ^k$ is at
least $kn+1$ for every integer $n$.

6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol