For non-uniform cellular automata (NUCA) over an arbitrary universe with multiple local
transition rules, we introduce and investigate fundamental dynamical properties such as …

For linear nonuniform cellular automata (NUCA) which are local perturbations of linear CA
over a group universe G and a finite-dimensional vector space alphabet V over an arbitrary …

We establish generalizations of the well-known surjunctivity theorem of Gromov and Weiss
as well as the dual-surjunctivity theorem of Capobianco, Kari and Taati for cellular automata …

In this paper, we introduce the classes of weakly surjunctive and linearly surjunctive groups
which include all sofic groups and more generally all surjunctive groups. We investigate …

Let G be a group. Let X be an algebraic group over an algebraically closed field K. Denote
by AD XK/the set of rational points of X. We study algebraic group cellular automata WAg …

For linear non-uniform cellular automata (NUCA) which are global perturbations of CA over
an arbitrary universe, we introduce and investigate their dual linear NUCA, which are also …

We study the class of asynchronous non-uniform cellular automata (ANUCA) over an
arbitrary group universe with multiple local transition rules. We introduce the notion of stable …

We consider expansive group actions on a compact metric space containing a special fixed
point denoted by 0, and endomorphisms of such systems whose forward trajectories are …

We explore the dual version of Gottschalk's conjecture recently introduced by Capobianco,
Kari, and Taati, and the notion of dual surjunctivity in general. We show that dual surjunctive …

We present several applications of the weak specification property and certain topological
Markov properties, recently introduced by Barbieri, García-Ramos, and Li [Markovian …