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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2003 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2003
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155721 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| id |
nasplib_isofts_kiev_ua-123456789-155721 |
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Bondarenko, E. Nekrashevych, V. 2019-06-17T11:16:42Z 2019-06-17T11:16:42Z 2003 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. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/155721 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. The second author acknowledges the support of Swiss National Science Foundation and Alexander von Huboldt Foundation. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Post-critically finite self-similar groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Post-critically finite self-similar groups |
| spellingShingle |
Post-critically finite self-similar groups Bondarenko, E. Nekrashevych, V. |
| title_short |
Post-critically finite self-similar groups |
| title_full |
Post-critically finite self-similar groups |
| title_fullStr |
Post-critically finite self-similar groups |
| title_full_unstemmed |
Post-critically finite self-similar groups |
| title_sort |
post-critically finite self-similar groups |
| author |
Bondarenko, E. Nekrashevych, V. |
| author_facet |
Bondarenko, E. Nekrashevych, V. |
| publishDate |
2003 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155721 |
| citation_txt |
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. |
| work_keys_str_mv |
AT bondarenkoe postcriticallyfiniteselfsimilargroups AT nekrashevychv postcriticallyfiniteselfsimilargroups |
| first_indexed |
2025-12-01T11:31:55Z |
| last_indexed |
2025-12-01T11:31:55Z |
| _version_ |
1850860099396960256 |