Dimension theory of iterated function systems

De-Jun Feng, Huyi Hu

Let $\{S_i{\}}_{i=1}^{\ell }$ be an iterated function system (IFS) on ${\mathbb{R}}^d$ with attractor $K$. Let $(\Sigma ,\sigma )$ denote the one-sided full shift over the alphabet $\{1,...,\ell \}$. We defi…