Geodesic
Periodic Patterns in Orbits of Certain Linear Cellular Automata
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001), DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001) (2001).

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We discuss certain linear cellular automata whose cells take values in a finite field. We investigate the periodic behavior of the verticals of an orbit of the cellular automaton and establish that there exists, depending on the characteristic of the field, a universal behavior for the evolution of periodic verticals. 
@article{DMTCS_2001_special_246_a13,
     author = {Barb\'e, Andr\'e and Haeseler, Fritz},
     title = {Periodic {Patterns} in {Orbits} of {Certain} {Linear} {Cellular} {Automata}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001)},
     year = {2001},
     doi = {10.46298/dmtcs.2290},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2290/}
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Barbé, André; Haeseler, Fritz. Periodic Patterns in Orbits of Certain Linear Cellular Automata. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001), DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001) (2001). doi : 10.46298/dmtcs.2290. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2290/

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