Spectrality of generalized Sierpinski-type self-affine measures

Jing-Cheng Liu, Ying Zhang, Zhi-Yong Wang +1

For an expanding integer matrix $M\in M_2(\mathbb{Z})$ and an integer digit set $D=\{(0,0{)}^t,({\alpha }_1,{\alpha }_2{)}^t,({\beta }_1,{\beta }_2{)}^t\}$ with ${\alpha }_1{\beta }_2-{\alpha }_2{\beta }_1\ne 0$, let ${\mu }_{M,D}$ be the Sierpinski-t…