Singular distribution functions for random variables with stationary digits

Horia Cornean, Ira W. Herbst, Jesper Møller +2

Let $F$ be the cumulative distribution function (CDF) of the base-$q$ expansion ${\sum }_{n=1}^{\infty }{X}_n{q}^{-n}$, where $q\ge 2$ is an integer and $\{X_n{\}}_{n\ge 1}$ is a stationary…