Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stepped surfaces and Rauzy fractals induced from automorphisms on the
  free group of rank 2   For substitution satisfying Pisot, irreducible, unimodular condition, a
tiling substitution plays a key role in construction of a stepped surface and
Rauzy fractal. In this paper we will extend the method to hyperbolic
automorphisms on the free group of rank 2 in some class, and obtain set
equations of Rauzy fractals by virtue of a tiling substitution. We will also
see that the domain exchange transformation on Rauzy fractal is just a two
interval exchange transformation.

30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph