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

Yi Cai, Derong Kong, Wenxia Li +1

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