Spectral structure of digit sets of self-similar tiles on ${BbbR}^1$

Chun-Kit Lai, Ka-Sing Lau, Hui Rao

We study the structure of the digit sets $\mathcal{D}$ for the integral self-similar tiles $T(b,\mathcal{D})$ (we call such $\mathcal{D}$ a {\it tile digit set} with respect to…