Abstract
We show that, for an iterated function system {Sj} Nj=1 of similitudes that satisfies the open set condition, there is a natural graph structure in the representing symbolic space to make it a hyperbolic graph, and the hyperbolic boundary is homeomorphic to the self-similar set generated by {Sj}Nj=1.
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APA
Lau, K. S., & Wang, X. Y. (2009). Self-similar sets as hyperbolic boundaries. Indiana University Mathematics Journal, 58(4), 1777–1795. https://doi.org/10.1512/iumj.2009.58.3639
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