Multidimensional Cellular Automata and Generalization of Fekete's Lemma
نویسنده
چکیده
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.
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ورودعنوان ژورنال:
- Discrete Mathematics & Theoretical Computer Science
دوره 10 شماره
صفحات -
تاریخ انتشار 2008