Accepted Manuscript Page 1 Jung-Chao Ban, Chih-Hung Chang Tree-shifts: Irreducibility,
mixing, and the chaos of tree-shifts Transactions of the American Mathematical Society DOI …

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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 …

This paper deals with the topological entropy for hom Markov shifts TM on d-tree. If M is a
reducible adjacency matrix with q irreducible components M 1,⋯, M q, we show that h (TM) …

We consider the existence of the topological entropy of shift spaces on a finitely generated
semigroup whose Cayley graph is a tree. The considered semigroups include free groups …

The purpose of this article is twofold. On one hand, we reveal the equivalence of shift of finite
type between a one-sided shift X and its associated hom tree-shift TX, as well as the …

This paper studies the entropy of tree-shifts of finite type with and without boundary
conditions. We demonstrate that computing the entropy of a tree-shift of finite type is …

The uncertainty of multidimensional shift spaces draws attracted attention of researchers.
For example, the emptiness problem is undecidable; there exist aperiodic shifts of finite type; …

We study the sofic tree shifts of A Σ⁎, where Σ⁎ is a regular rooted tree of finite rank. In
particular, we give their characterization in terms of unrestricted Rabin automata. We show …

This article explores the topological entropy and topological sequence entropy of hom tree-
shifts on unexpandable trees. Regarding topological entropy, we establish that the entropy …