  In this paper we study a storage process or a liquid queue in which the input
process is the local time of a positively recurrent stationary diffusion in
stationary state and the potential output takes place with a constant
deterministic rate. For this storage process we find its stationary
distribution and compute the joint distribution of the starting and ending
times of the busy and idle periods. This work completes and extends to a more
general setting the results in Mannersalo, Norros, and Salminen (2003).
