Parametrization for a class of Rauzy Fractals

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2019-01-01 DOI:10.18910/71138

J. Bastos, T. R. Souza

引用次数: 0

Abstract

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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一类Rauzy分形的参数化

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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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.