Hyperbolic spaces from self-similar group actions

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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Bibliographic Details
Date:2018
Main Author: Nekrashevych, Volodymyr
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
self-similar group actions
limit space
Gromov hyperbolic spaces
boundary of a hyperbolic space
37B05
37D99
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/954
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-954
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-9542018-05-13T06:43:21Z Hyperbolic spaces from self-similar group actions Nekrashevych, Volodymyr self-similar group actions, limit space, Gromov hyperbolic spaces, boundary of a hyperbolic space 37B05, 37D99 We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space. Lugansk National Taras Shevchenko University 2018-05-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/954 Algebra and Discrete Mathematics; Vol 2, No 1 (2003) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/954/483 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-05-13T06:43:21Z
collection OJS
language English
topic self-similar group actions
limit space
Gromov hyperbolic spaces
boundary of a hyperbolic space
37B05
37D99
spellingShingle self-similar group actions
limit space
Gromov hyperbolic spaces
boundary of a hyperbolic space
37B05
37D99
Nekrashevych, Volodymyr
Hyperbolic spaces from self-similar group actions
topic_facet self-similar group actions
limit space
Gromov hyperbolic spaces
boundary of a hyperbolic space
37B05
37D99
format Article
author Nekrashevych, Volodymyr
author_facet Nekrashevych, Volodymyr
author_sort Nekrashevych, Volodymyr
title Hyperbolic spaces from self-similar group actions
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
description We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/954
work_keys_str_mv AT nekrashevychvolodymyr hyperbolicspacesfromselfsimilargroupactions
first_indexed 2025-07-17T10:31:47Z
last_indexed 2025-07-17T10:31:47Z
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