Open set condition and pseudo Hausdorff measure of self-affine IFSs

Xiaoye Fu, Jean-Pierre Gabardo, Hua Qiu

Let $A$ be an $n\times n$ real expanding matrix and $\mathcal{D}$ be a finite subset of ${\mathbb{R}}^n$ with $0\in \mathcal{D}$. The family of maps $\{f_d(x)=A^{-1}(x+d)\}_{d\in\math…