Abstract | ||
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We associate a one-dimensional cellular automaton with a unit interval map, and show that if the unit interval map is expansive, then we could find a symbolic representation of a cellular automaton under the framework of usual symbolic dynamics system. If the unit interval map is not expansive, then we could find a symbolic representation of a cellular automaton under the framework of general symbolic dynamics system. We investigate symbolic representations of cellular automata in two different metric topologies, and analyze the relation between them as well. |
Year | Venue | Keywords |
---|---|---|
2015 | JOURNAL OF CELLULAR AUTOMATA | Symbolic representation,expansive map,cellular automaton,symbolic dynamics |
Field | DocType | Volume |
Cellular automaton,Discrete mathematics,Automata theory,Algebra,Mathematics | Journal | 10 |
Issue | ISSN | Citations |
1-2 | 1557-5969 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Junbiao Guan | 1 | 34 | 7.69 |
Fang-yue Chen | 2 | 80 | 18.67 |