Evolution of probability measures by cellular automata on algebraic topological Markov chains
| Autor: | ALEJANDRO MAASS, SERVET MARTÍNEZ |
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| Jazyk: | angličtina |
| Rok vydání: | 2003 |
| Předmět: | |
| Zdroj: | Biological Research, Vol 36, Iss 1, Pp 113-118 (2003) |
| Druh dokumentu: | article |
| ISSN: | 0716-9760 0717-6287 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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