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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| Дата: | 2003 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2003
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155721 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-155721 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1557212019-06-18T01:28:32Z Post-critically finite self-similar groups Bondarenko, E. Nekrashevych, V. 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. 2003 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/155721 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Bondarenko, E. Nekrashevych, V. |
| spellingShingle |
Bondarenko, E. Nekrashevych, V. Post-critically finite self-similar groups Algebra and Discrete Mathematics |
| author_facet |
Bondarenko, E. Nekrashevych, V. |
| author_sort |
Bondarenko, E. |
| title |
Post-critically finite self-similar groups |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2003 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT bondarenkoe postcriticallyfiniteselfsimilargroups AT nekrashevychv postcriticallyfiniteselfsimilargroups |
| first_indexed |
2023-05-20T17:47:05Z |
| last_indexed |
2023-05-20T17:47:05Z |
| _version_ |
1796154078917558272 |