Hyperbolic spaces from self-similar group actions

We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space.

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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2003
1. Verfasser: Nekrashevych, V.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2003
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/154679
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Hyperbolic spaces from self-similar group actions / V. Nekrashevych // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 77–86. — Бібліогр.: 14 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-154679
record_format dspace
spelling Nekrashevych, V.
2019-06-15T17:47:45Z
2019-06-15T17:47:45Z
2003
Hyperbolic spaces from self-similar group actions / V. Nekrashevych // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 77–86. — Бібліогр.: 14 назв. — англ.
1726-3255
2001 Mathematics Subject Classification: 37B05, 37D99.
https://nasplib.isofts.kiev.ua/handle/123456789/154679
We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Hyperbolic spaces from self-similar group actions
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Hyperbolic spaces from self-similar group actions
spellingShingle Hyperbolic spaces from self-similar group actions
Nekrashevych, V.
title_short Hyperbolic spaces from self-similar group actions
title_full Hyperbolic spaces from self-similar group actions
title_fullStr Hyperbolic spaces from self-similar group actions
title_full_unstemmed Hyperbolic spaces from self-similar group actions
title_sort hyperbolic spaces from self-similar group actions
author Nekrashevych, V.
author_facet Nekrashevych, V.
publishDate 2003
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
description We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space.
issn 1726-3255
url https://nasplib.isofts.kiev.ua/handle/123456789/154679
citation_txt Hyperbolic spaces from self-similar group actions / V. Nekrashevych // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 77–86. — Бібліогр.: 14 назв. — англ.
work_keys_str_mv AT nekrashevychv hyperbolicspacesfromselfsimilargroupactions
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last_indexed 2025-12-01T09:32:04Z
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