%0 Journal Article
%T Evolution of probability measures by cellular automata on algebraic topological Markov chains
%A ALEJANDRO MAASS
%A SERVET MART¨ªNEZ
%J Biological Research
%D 2003
%I Sociedad de Biolog¨ªa de Chile
%X In this paper we review some recent results on the evolution of probability measures under cellular automata acting on a fullshift. In particular we discuss the crucial role of the attractiveness of maximal measures. We enlarge the context of the results of a previous study of topological Markov chains that are Abelian groups; the shift map is an automorphism of this group. This is carried out by studying the dynamics of Markov measures by a particular additive cellular automata. Many of these topics were within the focus of Francisco Varela's mathematical interests.
%U http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602003000100010