Evolution of probability measures by cellular automata on algebraic topological Markov chains

Evolution of probability measures by cellular automata on algebraic topological Markov chains

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 cha...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: MAASS,ALEJANDRO, MARTÍNEZ,SERVET
Lenguaje:English
Publicado: Sociedad de Biología de Chile 2003
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602003000100010
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:scielo:S0716-97602003000100010
record_format dspace
spelling oai:scielo:S0716-976020030001000102003-08-18Evolution of probability measures by cellular automata on algebraic topological Markov chainsMAASS,ALEJANDROMARTÍNEZ,SERVETIn 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.info:eu-repo/semantics/openAccessSociedad de Biología de ChileBiological Research v.36 n.1 20032003-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602003000100010en10.4067/S0716-97602003000100010
institution Scielo Chile
collection Scielo Chile
language English
description 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.
author MAASS,ALEJANDRO
MARTÍNEZ,SERVET
spellingShingle MAASS,ALEJANDRO
MARTÍNEZ,SERVET
Evolution of probability measures by cellular automata on algebraic topological Markov chains
author_facet MAASS,ALEJANDRO
MARTÍNEZ,SERVET
author_sort MAASS,ALEJANDRO
title Evolution of probability measures by cellular automata on algebraic topological Markov chains
title_short Evolution of probability measures by cellular automata on algebraic topological Markov chains
title_full Evolution of probability measures by cellular automata on algebraic topological Markov chains
title_fullStr Evolution of probability measures by cellular automata on algebraic topological Markov chains
title_full_unstemmed Evolution of probability measures by cellular automata on algebraic topological Markov chains
title_sort evolution of probability measures by cellular automata on algebraic topological markov chains
publisher Sociedad de Biología de Chile
publishDate 2003
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602003000100010
work_keys_str_mv AT maassalejandro evolutionofprobabilitymeasuresbycellularautomataonalgebraictopologicalmarkovchains
AT martinezservet evolutionofprobabilitymeasuresbycellularautomataonalgebraictopologicalmarkovchains
_version_ 1718441350244859904

Ejemplares similares