Substreetutions and more on trees

We define a notion of substitution on colored binary trees that we call substreetution. We show that a point fixed by a substreetution may (or not) be almost periodic, and thus the closure of the orbit under the $\mathbb {F}_{2}^{+}$ -action may (or not) be minimal. We study one special example: we...

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Veröffentlicht in:	Ergodic theory and dynamical systems 2024-09, Vol.44 (9), p.2399-2453
Hauptverfasser:	BARAVIERA, ALEXANDRE, LEPLAIDEUR, RENAUD
Format:	Artikel
Sprache:	eng
Schlagworte:	Dynamical systems Entropy Motivation Phase transitions Statistical mechanics
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