Yuhan Zhang

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math.DS2025

Phase transitions for unique codings of fat Sierpinski gaskets with multiple digits

Yi Cai, Derong Kong, Wenxia Li +1

Given an integer $M \geq 1$ and $β \in (1, M + 1)$ , let $S_{β, M}$ be the fat Sierpinski gasket in $R^{2}$ generated by the iterated function system $\left\{f_d(x)=\frac{x+d}β: d\i…

math.DS2023

Periodic unique codings of fat Sierpinski gasket

Derong Kong, Yuhan Zhang

For $β > 1$ let $S_{β}$ be the Sierpinski gasket generated by the iterated function system \[\left\{f_{α_0}(x,y)=\Big(\frac{x}β,\frac{y}β\Big), \quad f_{α_1}(x,y)=\Big(\frac{x+1}β, \fr…