Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slow entropy and differentiable models for infinite-measure preserving
  Z^k actions   We define "slow" entropy invariants for Z^2 actions on infinite measure
spaces, which measures growth of itineraries at subexponential scales. We use
this to construct infinite-measure preserving Z^2 actions which cannot be
realized as a group of diffeomorphisms of a compact manifold preserving a Borel
measure, contrary to the situation for Z-actions, where every infinite-measure
preserving action can be realized in this way.

9
The categories of this paper are: nlin
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an