Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real-analytic realization of Uniform Circular Systems and some
  applications   Recently Matthew Foreman and Benjamin Weiss showed in a series of papers that
smooth ergodic diffeomorphisms of a compact manifold are unclassifiable up to
measure-isomorphism. In this paper we show that the uniform circular systems
used in the work of Foreman-Weiss admit real-analytic realizations on the
torus. As a consequence we obtain the same anti-classification result for
real-analytic ergodic diffeomorphisms on the torus. In another application we
show the existence of an uncountable family of pairwise non-Kakutani equivalent
real-analytic diffeomorphisms on the torus.

15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess