Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodic Abelian actions with homogeneous spectrum   It is shown that for each $N>0$ and for a wide class of Abelian non-compact
locally compact second countable groups $G$ including all infinite countable
discrete ones and $\Bbb R^{d_1}\times\Bbb Z^{d_2}$ with $d_1,d_2\ge 0$, there
exists a weakly mixing probability preserving $G$-action with a homogeneous
spectrum of multiplicity $N$.

5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol