Spectral property of Cantor measures with consecutive digits

Xin-Rong Dai, Xing-Gang He, Chun-Kit Lai

We consider equally-weighted Cantor measures ${\mu }_{q,b}$ arising from iterated function systems of the form $b^{-1}(x+i)$, $i=0,1,...,q-1$, where $q<b$. We classify the $(q,b)$ so…