Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pisot substitution sequences, one dimensional cut-and-project sets and
  bounded remainder sets with fractal boundary   This paper uses a connection between bounded remainder sets in $\mathbb{R}^d$
and cut-and-project sets in $\mathbb{R}$ together with the fact that each
one-dimensional Pisot substitution sequence is bounded distance equivalent to
some lattice in order to construct several bounded remainder sets with fractal
boundary. Moreover it is shown that there are cut-and-project sets being not
bounded distance equivalent to each other even if they are locally
indistinguishable, more precisely: even if they are contained in the same hull.

30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
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