2 research outputs found
On the Ergodic Properties of Certain Additive Cellular Automata over
In this paper, we investigate some ergodic properties of -actions
generated by an additive cellular automata and shift acting on the
space of all doubly -infinitive sequences taking values in .Comment: 5 pag
Some properties of topological pressure on cellular automata
This paper investigates the ergodicity and the power rule of the topological pressure of a cellular automaton. If a cellular automaton is either leftmost or rightmost premutive (due to the terminology given by Hedlund [Math.~Syst.~Theor.~3, 320-375, 1969]), then it is ergodic with respect to the uniform Bernoulli measure. More than that, the relation of topological pressure between the original cellular automaton and its power rule is expressed in a closed form. As an application, the topological pressure of a linear cellular automaton can be computed explicitly