A functional law of the iterated logarithm is obtained for symmetric stable
processes with stationary independent increments. This extends the classic
al liminf results of Chung for Brownian motion, and of Taylor for such rema
ining processes. It also extends an earlier result of Wichura on Brownian m
otion. Proofs depend on small ball probability estimates and yield the smal
l ball probabilities of the weighted sup-norm for these processes.