Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrical models for a class of reducible Pisot substitutions   We set up a geometrical theory for the study of the dynamics of reducible
Pisot substitutions. It is based on certain Rauzy fractals generated by duals
of higher dimensional extensions of substitutions. We obtain under certain
hypotheses geometric representations of stepped surfaces and related polygonal
tilings, as well as self-replicating and periodic tilings made of Rauzy
fractals. We apply our theory to an infinite family of substitutions. For this
family, we analyze and interpret in a new combinatorial way the codings of a
domain exchange defined on the associated fractal domains. We deduce that the
symbolic dynamical systems associated with this family of substitutions behave
dynamically as first returns of toral translations.

30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th