We study the (sub) dynamics of multidimensional shifts of finite type and sofic shifts, and the
action of cellular automata on their limit sets. Such a subaction is always an effective …

Symbolic dynamics is essential in the study of dynamical systems of various types and is
connected to many other fields such as stochastic processes, ergodic theory, representation …

Classification of SFTs and the Little Shift Equivalence Conjecture Range of the dimension
representation Positive Rational Shift Equivalence Conjecture The Generalized Spectral …

We exhibit Lipschitz (and hence Hölder) potentials on the full shift {0, 1\}^ N such that the
associated Gibbs measures fail to converge as the temperature goes to zero. Thus there are …

For $ d\geq 2$ we exhibit mixing $\mathbb {Z}^ d $ shifts of finite type and sofic shifts with
large entropy but poorly separated subsystems (in the sofic examples, the only minimal …

Abstract In 9, Hochman and Meyerovitch gave a complete characterization of the set of
topological entropies of ℤ d shifts of finite type (SFTs) via a recursion-theoretic criterion …

Internationally recognised researchers look at developing trends in combinatorics with
applications in the study of words and in symbolic dynamics. They explain the important …

Using tools from computable analysis we develop a notion of effectiveness for general
dynamical systems as those group actions on arbitrary spaces that contain a computable …

A generalization of the simulation theorem for semidirect products Page 1 Ergod. Th. & Dynam.
Sys. (2019), 39, 3185–3206 doi:10.1017/etds.2018.21 c Cambridge University Press, 2018 A …

We generalize the classical definition of effectively closed subshift to finitely generated
groups. We study classical stability properties of this class and then extend this notion by …