Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal topological actions do not determine the measurable orbit
  equivalence class   We construct a minimal topological action $\wp$ of a non-amenable group on a
Cantor set $C$, which is non-uniquely ergodic and furthermore there exist
ergodic invariant measures $\mu_1$ and $\mu_2$ such that $(\wp,C,\mu_1)$ and
$(\wp,C,\mu_2)$ are not orbit equivalent measurable equivalence relations.

16
The categories of this paper are: stat
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs