THE JACARANDA TREE IS STRONGLY APERIODIC AND HAS ZERO ENTROPY - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

THE JACARANDA TREE IS STRONGLY APERIODIC AND HAS ZERO ENTROPY

L'arbre binaire colorié Jacaranda est fortement apériodique et d'entropie nulle.

Résumé

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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hal-04055327 , version 1 (16-04-2023)

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Alexandre Baraviera, Renaud Leplaideur. THE JACARANDA TREE IS STRONGLY APERIODIC AND HAS ZERO ENTROPY. 2023. ⟨hal-04055327⟩
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