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Distortion in One-Head Machines and Cellular Automata

2017; Springer Science+Business Media; Linguagem: Inglês

10.1007/978-3-319-58631-1_10

1611-3349

P. Guillon, Ville Salo,

Mathematical Dynamics and Fractals

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.