Accessibility of the Boundary of the Thurston Set

Stefano Silvestri, Rodrigo A. Pérez

Consider two objects associated to the Iterated Function System (IFS) $\{1+\lambda z,-1+\lambda z\}$: the locus $\mathcal{M}$ of parameters $\lambda \in \mathbb{D}\setminus \{0\}$ for which the correspon…