The Minkowski dimension of the image of an arboreal Galois representation

Chifan Leung, Clayton Petsche

We consider the Minkowski dimension of the arboreal Galois group $G_{f,\alpha }$ associated to a rational map $f:{\mathbb{P}}^1\to {\mathbb{P}}^1$ and a base point $\alpha \in {\mathbb{P}}^1(K)$. This…