In this paper we derive an alternative representation for the reflection of a continuous, bounded variation process. Under stationarity assumptions we prove a continuous counterpart of Little's law of classical queueing theory. These results, together with formulas from Palm calculus, are used...

We consider recursions of the form xn + 1 = [phi]n[xn], where {[phi]n, n = 0} is a stationary ergodic sequence of maps from a Polish space (E, ) into itself, and {xn, n = 0} are random variables taking values in (E, ). Questions of existence and uniqueness of stationary solutions are of...

Based on recent results on the exploitation of "drift criteria" for general state-space Markov processes, we derive rates of convergence for (moments of ) processes associated with a renewal process with common inter-renewal time distribution F. Some of the results are classical and some are...