Post-critically finite self-similar groups
classification
🧮 math.GR
math.MG
keywords
actionsautomataboundedfinitepost-criticallyself-similaractionautomatic
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We describe in terms of automata theory the automatic actions with post-critically finite limit space. We prove that these actions are precisely the actions by bounded automata and that any self-similar action by bounded automata is contracting.
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