Characterization of random variables with stationary digits

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

Let $q\ge 2$ be an integer, $\{X_n{\}}_{n\ge 1}$ a stochastic process with state space $\{0,\dots ,q-1\}$, and $F$ the cumulative distribution function (CDF) of $\sum_{n=1}^\infty X_…