The-Hausdorff-dimension-of-the-survivor-set

Rui Kuang, Bing Li, Yuanfen Xiao

Let $1<{\hat{I}}^2<2$, the sequence $\hat{I}\pm ({\hat{I}}^2)=\hat{I}\pm ({\hat{I}}^2{)}_1\hat{I}\pm ({\hat{I}}^2{)}_2\cdots$ be the quasi-greedy ${\hat{I}}^2$-expansion of $1$, and $t\in [0,1)$ be a bifurcation parameter. The ${\hat{I}}^2$-transformation…