Instruct: Identify the main and secondary category of Arxiv papers based on the titles
Query: Ma\~n\'e's conjectures in codimension one   We prove Ma\~n\'e's conjectures in the context of codimension one
Aubry-Mather theory

32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an