Arbitrarily sparse spectra for self-affine spectral measures

Li-Xiang An, Chun-Kit Lai

Given an expansive matrix $R\in M_d(\mathbb{Z})$ and a finite set of digit $B$ taken from ${\mathbb{Z}}^d/R({\mathbb{Z}}^d)$. It was shown previously that if we can find an $L$ suc…