Distortion in One-Head Machines and Cellular Automata
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.
Domains
Computer Science [cs]| Origin | Files produced by the author(s) |
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