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Post-critically finite self-similar groups

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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Main Authors: Bondarenko, E., Nekrashevych, V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2003
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/155721
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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
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