一类Rauzy分形的参数化

Pub Date : 2019-01-01 DOI:10.18910/71138

J. Bastos, T. R. Souza

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引用次数: 0

摘要

本文研究了一类Rauzy分形Ra，它由多项式x−ax + x−1给出，其中a≥2是整数。特别地，我们给出了一个产生Ra边界的自动机，并利用一个不寻常的计数系统证明了Ra是拓扑盘的同胚。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Parametrization for a class of Rauzy Fractals

In this paper, we study a class of Rauzy fractals Ra given by the polynomial x − ax + 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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