Connectedness of self-affine sets with product digit sets

Jing-Cheng Liu, Jun Jason Luo, Ke Tang

Let $T(A,\mathcal{D})$ be a self-affine set generated by an expanding matrix $A=\left[\begin{array}{rr}p& 0\\ -a& q\end{array}\right]$ and a product digit set $\mathcal{D}=\{0…