Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality of Model Sets Generated by Substitutions   The nature of this paper is twofold: On one hand, we will give a short
introduction and overview of the theory of model sets in connection with
nonperiodic substitution tilings and generalized Rauzy fractals. On the other
hand, we will construct certain Rauzy fractals and a certain substitution
tiling with interesting properties, and we will use a new approach to prove
rigorously that the latter one arises from a model set. The proof will use a
duality principle which will be described in detail for this example. This
duality is mentioned as early as 1997 by Gelbrich in the context of iterated
function systems, but it seems to appear nowhere else in connection with model
sets.

5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex