Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compact families and typical entropy invariants of measure-preserving
  actions   For a compact set of actions, an invariant of Kushnirenko's entropy type is
chosen in such a way that on this set it is equal to zero, but will be infinity
for typical actions. As a consequence, we show that typical measure-preserving
transformations are not isomorphic to geometric shape exchange transformations.
This problem arose in connection with the result of Chaika and Davis about the
atypical nature of IETs.

6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas