Hyperbolic spaces from self-similar group actions
Algebra and discrete mathematics, no. 1 (2003), pp. 77-86
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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.
@article{ADM_2003_1_a6,
author = {Volodymyr Nekrashevych},
title = {Hyperbolic spaces from self-similar group actions},
journal = {Algebra and discrete mathematics},
pages = {77--86},
year = {2003},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2003_1_a6/}
}
Volodymyr Nekrashevych. Hyperbolic spaces from self-similar group actions. Algebra and discrete mathematics, no. 1 (2003), pp. 77-86. http://geodesic.mathdoc.fr/item/ADM_2003_1_a6/