arXiv:2102.02497 Abstract | arXiv Analytics

arXiv:2102.02497 [math.DS]Abstract References Reviews Resources

A Rauzy fractal unbounded in all directions of the plane

Published 2021-02-04Version 1

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.

Categories: math.DS, math.CO

Keywords: rauzy fractal, directions, arnoux-rauzy word, differences

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arXiv:2102.02497 [math.DS]Abstract References Reviews Resources

A Rauzy fractal unbounded in all directions of the plane

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arXiv:2102.02497 [math.DS]AbstractReferencesReviewsResources

A Rauzy fractal unbounded in all directions of the plane

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arXiv:2102.02497 [math.DS]Abstract References Reviews Resources