Post-critically finite self-similar groups

نویسندگان

  • Ievgen Bondarenko
  • Volodymyr Nekrashevych
چکیده

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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تاریخ انتشار 2008