Parametrization for a class of rauzy fractals
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In this paper, we study a class of Rauzy fractals Ra given by the polynomial x3 − ax2 + x − 1 where a ≥ 2 is an integer. In particular, we give explicitly an automaton that generates the boundary of Ra and using an unusual numeration system we prove that Ra is homeomorphic to a topological disk.
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English
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Osaka Journal of Mathematics, v. 56, n. 1, p. 101-122, 2019.
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