Ka‐Sing Lau

activity

20122016

most citedLipschitz equivalence of self-similar sets and hyperbolic boundaries

62 citations · 62 across the 3 of their papers we have counts for

collaborators

3 papers

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.FA2014

On Spectral N-Bernoulli Mmeasure

Xin-Rong Dai, Xing-Gang He, Ka-Sing Lau

For $0 < ρ < 1$ and $N > 1$ an integer, let $μ$ be the self-similar measure defined by $μ (\cdot) = \sum_{i = 0}^{N - 1} \frac{1}{N} μ (ρ^{- 1} (\cdot) - i)$ . We prove that $L^{2} (μ)$ has an exponential or…

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…