Rauzy fractals induced from automorphisms on the free group of rank 2 related to continued fractions
نویسنده
چکیده
For a substitution satisfying the Pisot, irreducible, unimodular condition, a tiling substitution plays a key role in the construction of Rauzy fractals (see [15, 3]). To try extending techniques developed for substitutions to automorphisms, [6] gives the way to construct Rauzy fractals by using tiling substitutions for automorphisms related to hyperbolic companion matrices of quadratic polynomials. This paper shows application to another class of automorphisms related to continued fraction expansions.
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