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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2003 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2003
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| Online Access: | https://nasplib.isofts.kiev.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| _version_ | 1862646415627386880 |
|---|---|
| author | Bondarenko, E. Nekrashevych, V. |
| author_facet | Bondarenko, E. Nekrashevych, V. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-01T11:31:55Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155721 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-01T11:31:55Z |
| publishDate | 2003 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Post-critically finite self-similar groups Bondarenko, E. Nekrashevych, V. |
| title | 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_short | Post-critically finite self-similar groups |
| title_sort | post-critically finite self-similar groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155721 |
| work_keys_str_mv | AT bondarenkoe postcriticallyfiniteselfsimilargroups AT nekrashevychv postcriticallyfiniteselfsimilargroups |