Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounded type interval exchange maps   Irrational numbers of bounded type have several equivalent characterizations.
They have bounded partial quotients in terms of arithmetic characterization and
in the dynamics of the circle rotation, the rescaled recurrence time to
$r$-ball of the initial point is bounded below. In this paper, we consider how
the bounded type condition of irrational is generalized into interval exchange
maps.

12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int