On the Dynamical Behaviour of Cellular Automata
arXiv:0707.0855
Abstract
In this paper we study the dynamics of 1- and 2- dimensional cellular automata, using a 2-adic representation of the states, we give a simple graphical technique for finding periodic solutions. We also study the continuity properties of the associated 2-adic system and show how to compute the entropy.
20 pages with 7 figures, submitted to Journal of Mathematical Analysis and Applications