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math.MG2016
On Hyperbolic graphs induced by iterated function systems
Ka-Sing Lau, Xiang-Yang Wang
For any contractive iterated function system (IFS, including the Moran systems), we show that there is a natural hyperbolic graph on the symbolic space, which yields the Hölder equ…
math.MG2012★ 62 cited
Lipschitz equivalence of self-similar sets and hyperbolic boundaries
Jun Jason Luo, Ka-Sing Lau
In [9] Kaimanovich introduced the concept of augmented tree on the symbolic space of a self-similar set. It is hyperbolic in the sense of Gromov, and it was shown in [13] that unde…