Coherent structures in cellular automataCoherent structures in cellular automata Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-161990enThe 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.http://creativecommons.org/licenses/by/4.0/Physics Letters A7147369–379 Fokas, A. S., 1952- Saridakis Ioannis Σαριδακης Ιωαννης Papadopoúlou, Elénē Elsevier