Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disjointness for measurably distal group actions and applications   We generalize Berg's notion of quasi-disjointness to actions of countable
groups and prove that every measurably distal system is quasi-disjoint from
every measure preserving system. As a corollary we obtain easy to check
necessary and sufficient conditions for two systems to be disjoint, provided
one of them is measurably distal. We also obtain a Wiener--Wintner type theorem
for countable amenable groups with distal weights and applications to weighted
multiple ergodic averages and multiple recurrence.

12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc