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We show that the limit in our definition of tree shift topological entropy is actually the infimum,
as is the case for both the topological and measure-theoretic entropies in the classical …

Let us color the vertices of the grid ℤd or the infinite regular tree 𝕋d, using a finite number of
colors, with the constraint that some predefined pairs of colors are not allowed for adjacent …

We investigate relations between the pseudo-orbit-tracing property, topological stability and
openness for tree-shifts. We prove that a tree-shift is of finite type if and only if it has the …

We generalize the notion of self-similar groups of infinite tree automorphisms to allow for
groups which are defined on a tree but may not act faithfully on it. The elements of such a …

Cette thèse est consacrée à l'étude des décalages, ou encore systèmes dynamiques
symboliques, définis sur certains monoïdes finiment présentés, ℤ^ d d'une part et les arbres …

This work continues the study of the properties of finitely constrained groups of binary tree
automorphisms in terms of their Hausdorff dimension. We prove that there are exactly …