Limit sets of cellular automata associated to probability measures

Kurka, P; Maass A.

Abstract

We introduce the concept of limit set associated to a cellular automaton (CA) and shift invariant probability measure. This is a subshift whose forbidden blocks are exactly those, whose probabilities tend to zero as time tends to infinity. We compare this probabilistic concept of limit set with the concepts of attractors, both in topological and measure-theoretic sense. We also compare this notion with that of topological limit set in different dynamical situations.

Más información

Título según WOS: Limit sets of cellular automata associated to probability measures
Título según SCOPUS: Limit sets of cellular automata associated to probability measures
Título de la Revista: JOURNAL OF STATISTICAL PHYSICS
Volumen: 100
Número: 5-6
Editorial: Springer
Fecha de publicación: 2000
Página de inicio: 1031
Página final: 1047
Idioma: English
URL: http://link.springer.com/10.1023/A:1018706923831
DOI:

10.1023/A:1018706923831

Notas: ISI, SCOPUS