On Lebesgue measure of integral self-affine sets

Ievgen Bondarenko, Rostyslav Kravchenko

Let $A$ be an expanding integer $n\times n$ matrix and $D$ be a finite subset of $Z^n$. The self-affine set $T=T(A,D)$ is the unique compact set satisfying the equality $A(T)=\cup_…