A characterization of connected self-affine fractals arising from collinear digits

King-Shun Leung, Jun Jason Luo

Let $A$ be an expanding integer matrix with characteristic polynomial $f(x)=x^2+px+q$, and let $\mathcal{D}=\{0,1,\dots ,|q|-2,|q|+m\}\mathbf{v}$ be a collinear digit set where $m…