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arXiv · 2304.08039

The Jacaranda tree is strongly aperiodic and has zero entropy

Alexandre Baraviera·Renaud Leplaideur
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Abstract

We prove that the Jacaranda tree obtained as a fixed point for a substreetution in previous work of the authors is strongly aperiodic and that the number of patches increases linearly with respect to the size of the patch. As a consequence we get that the tree has zero entropy.

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Alexandre Baraviera, Renaud Leplaideur. 2023-04-17. The Jacaranda tree is strongly aperiodic and has zero entropy. https://arxiv.org/abs/2304.08039

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