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Post-critically finite self-similar groups

Post-critically finite self-similar groups

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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Bibliographic Details
Main Authors: Bondarenko, E., Nekrashevych, V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2003
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/155721
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Summary: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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