arXiv Open Access 2021

A Rauzy fractal unbounded in all directions of the plane

Mélodie Andrieu

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Abstrak

We construct an Arnoux-Rauzy word for which the set of all differences of two abelianized factors is equal to $\mathbb{Z}^3$. In particular, the imbalance of this word is infinite - and its Rauzy fractal is unbounded in all directions of the plane.

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Penulis (1)

Mélodie Andrieu

Format Sitasi

APA MLA BibTeX

Andrieu, M. (2021). A Rauzy fractal unbounded in all directions of the plane. https://arxiv.org/abs/2102.02497

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓