On the directional entropy of Z2-actions generated by cellular automata
M. Courbage, Brunon Kamiński · Studia Mathematica · 2002
We show that for any cellular automaton (CA) ${{\mathbb Z}}^{2}$-action ${\mit \Phi }$ on the space of all doubly infinite sequences with values in a finite set $A$, determined by an automaton rule $F=F_{[l,r]}$, $l,r\in {{\mathbb Z}}$, $l\leq r$, and any