کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
436539 690012 2014 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stepped surfaces and Rauzy fractals induced from automorphisms on the free group of rank 2
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Stepped surfaces and Rauzy fractals induced from automorphisms on the free group of rank 2
چکیده انگلیسی

From irreducible unimodular Pisot substitutions of rank 2, we can construct the discrete approximations of the lines, the so-called stepped surfaces, and moreover, we obtain Rauzy fractals as geometric realizations of the symbolic dynamical systems. In this paper, we study a particular infinite family of automorphisms on the free group of rank 2. We see that for every hyperbolic quadratic unit integer λ, there is a corresponding automorphism in the infinite family whose incidence matrix has eigenvalue λ; and the automorphism is conjugate to a substitution or “an alternating substitution”. And we construct stepped surfaces and Rauzy fractals induced from automorphisms in the family by using tiling substitutions. We also discuss the domain exchange transformations on Rauzy fractals.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Theoretical Computer Science - Volume 528, 3 April 2014, Pages 57–78
نویسندگان
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