Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary of central tiles associated with Pisot beta-numeration and
  purely periodic expansions   This paper studies tilings related to the beta-transformation when beta is a
Pisot number (that is not supposed to be a unit). Then it applies the obtained
results to study the set of rational numbers having a purely periodic
beta-expansion. Special focus is given to some quadratic examples.

35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin