arXiv:2304.08039 Abstract | arXiv Analytics

arXiv:2304.08039 [math.DS]Abstract References Reviews Resources

The Jacaranda tree is strongly aperiodic and has zero entropy

Published 2023-04-17Version 1

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.

Categories: math.DS

Keywords: zero entropy, jacaranda tree, strongly aperiodic, patches increases

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