Hausdorff dimension of planar self-affine sets and measures

Balázs Bárány, Michael Hochman, Ariel Rapaport

Let $X=\bigcup {\phi }_{i}X$ be a strongly separated self-affine set in ${\mathbb{R}}^2$ (or one satisfying the strong open set condition). Under mild non-compactness and irreducibility ass…