Ting Zhang

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20192025

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math.DS2022

Random β-transformation on fat Sierpinski gasket

Tingyu Zhang, Karma Dajani, Wenxia Li

We consider the iterated function system (IFS) $f_{q} (z) = \frac{z + q}{β}, q \in {(0, 0), (1, 0), (0, 1)} .$ As is well known, for $β = 2$ the attractor, $S_{β}$ ,…

math.DS2019

Visibility of Cartesian products of Cantor sets

Tingyu Zhang, Kan Jiang, Wenxia Li

Let $K_{λ}$ be the attractor of the following IFS \begin{equation*} \{f_1(x)=λx, f_2(x)=λx+1-λ\}, \;\;0<λ<1/2. \end{equation*} Given $α \geq 0$ , we say the line $y = α x$ is visible thro…