Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Harmonic Functions on Compactly Generated Groups   A compactly generated group is noncompact if and only if it admits a
nonconstant harmonic function (for some, equivalently for every, reasonable
measure).
  This generalizes the known fact that a finitely generated group is infinite
if and only if it admits a nonconstant harmonic function (for some,
equivalently every, reasonable measure).

19
The categories of this paper are: eess
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat