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Distortion in one-head machines and cellular automata

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2017) 10248 LNCS 120-138
DOI: 10.1007/978-3-319-58631-1_10
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Abstract

We give two families of examples of automorphisms of subshifts that are range-distorted, that is, the radius of their iterations grows sublinearly. One of these families comes from one-head machines, and allows us to build such automorphisms for the full shift, and to obtain undecidability results.We also give some conditions on the functions that can occur as such growths.

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APA

Guillon, P., & Salo, V. (2017). Distortion in one-head machines and cellular automata. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10248 LNCS, pp. 120–138). Springer Verlag. https://doi.org/10.1007/978-3-319-58631-1_10

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