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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/8B300EF2-38E7-429C-8267-8CFD61FFB807 | ||
| Year | 1990 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | A. S. Fokas, E. P. Papadopoulou, Y. G. Saridakis, “Coherent structures in cellular automata”, Ph. Letters A,vol. 147 ,no. 7, pp 369-379, 1990. doi:10.1016/0375-9601(90)90556-4 https://doi.org/10.1016/0375-9601(90)90556-4 | ||
| Appears in Collections |
The filter cellular automaton (CA) introduced by Park, Steiglitz and Thurston is generalized to take values in an arbitrary finite group. Interesting examples include n, the cyclic group of order n, and Sn, the group of permutations of n elements. Thes e new CA, can support coherent periodic structures, and can be analyzed by the theory recently developed by the authors. Furthermore, several multidimensional versions of the above CA are also presented.
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