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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| Date: | 2003 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2003
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/155721 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Post-critically finite self-similar groups / E. Bondarenko, V. Nekrashevych // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 4. — С. 21–32. — Бібліогр.: 19 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| 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. |
|---|