Geometrical Models for Substitutions
نویسندگان
چکیده
We consider a substitutive version of the Arnoux-Yoccoz Interval Exchange Transformation (IET) related to the Tribonacci substitution. We construct the so-called stepped lines associated to the fixed points of the substitution in the Abelianisation (symbolic) space. We analyse various projections of the stepped line recovering the Rauzy Fractal, a Peano Curve related to the work of Arnoux [1], another Peano curve related to the work of Mc-Mullen and Poggiaspalla, Lowenstein, Vivaldi [4], and also the interval exchange itself.
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عنوان ژورنال:
- Experimental Mathematics
دوره 20 شماره
صفحات -
تاریخ انتشار 2011