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arXiv · 1409.1168

Parametrization for a class of Rauzy Fractal

Jefferson Bastos·Tatiana Rodrigues
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Abstract

In this paper, we study a class of Rauzy fractals ${\mathcal R}_a$ given by the polynomial $x^3- ax^2+x-1$ where $a \geq 2$ is an integer. In particular we give explicitly an automaton that generates the boundary of ${\mathcal R}_a$ and using an exotic numeration system we prove that ${\mathcal R}_a$ is homeomorphic to a topological disk.

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Jefferson Bastos, Tatiana Rodrigues. 2014-09-03. Parametrization for a class of Rauzy Fractal. https://arxiv.org/abs/1409.1168

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