Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characteristic factors for commuting actions of amenable groups   We describe characteristic factors for certain averages arising from
commuting actions of locally compact, second-countable, amenable groups. Under
some ergodicity assumptions we use these factors to prove a form of multiple
recurrence for three such actions.

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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: eess
10
The categories of this paper are: q-bio