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Algebra and Discrete Mathematics, 2003, Issue 1, Pages 77–86 (Mi adm370)  
This article is cited in 4 scientific papers (total in 4 papers)

RESEARCH ARTICLE

Hyperbolic spaces from self-similar group actions

Volodymyr Nekrashevych

Kyiv Taras Shevchenko University, Mechanics and Mathematics Faculty, Algebra Department, Volodymyrska, 60, Kyiv, Ukraine, 01033
Full-text PDF (187 kB) Citations (4)
Abstract: We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space.
Keywords: self-similar group actions, limit space, Gromov hyperbolic spaces, boundary of a hyperbolic space.
Received: 30.01.2003
Bibliographic databases:
Document Type: Article
MSC: 37B05, 37D99
Language: English
Citation: Volodymyr Nekrashevych, “Hyperbolic spaces from self-similar group actions”, Algebra Discrete Math., 2003, no. 1, 77–86
Citation in format AMSBIB
\Bibitem{Nek03}
\by Volodymyr~Nekrashevych
\paper Hyperbolic spaces from self-similar group actions
\jour Algebra Discrete Math.
\yr 2003
\issue 1
\pages 77--86
\mathnet{http://mi.mathnet.ru/adm370}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2051640}
\zmath{https://zbmath.org/?q=an:1034.37006}
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  • https://www.mathnet.ru/eng/adm/y2003/i1/p77
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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