Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recurrence of non-resonant homeomorphisms on the torus   We prove that a homeomorphism of the torus homotopic to the identity whose
rotation set is reduced to a single totally irrational vector is
chain-recurrent. In fact, we show that pseudo-orbits can be chosen with a small
number of jumps, in particular, that the nonwandering set is weakly transitive.
We give an example showing that the nonwandering set of such a homeomorphism
may not be transitive.

21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph