Silvio Capobianco - Multidimensional cellular automata and generalization of Fekete's lemma

dmtcs:442 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, Vol. 10 no. 3 - https://doi.org/10.46298/dmtcs.442
Multidimensional cellular automata and generalization of Fekete's lemma

Authors: Silvio Capobianco

    Fekete's lemma is a well-known combinatorial result on number sequences: we extend it to functions defined on d-tuples of integers. As an application of the new variant, we show that nonsurjective d-dimensional cellular automata are characterized by loss of arbitrarily much information on finite supports, at a growth rate greater than that of the support's boundary determined by the automaton's neighbourhood index.


    Volume: Vol. 10 no. 3
    Section: Automata, Logic and Semantics
    Published on: January 1, 2008
    Imported on: March 26, 2015
    Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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