Continuous Semi-Markov Processes

This title considers the special of random processes known as semi–Markov processes. These possess the Markov property with respect to any intrinsic Markov time such as the first exit time from an open set or a finite iteration of these times.

The class of semi–Markov processes includes strong Markov processes, Lévy and Smith stepped semi–Markov processes, and some other subclasses. Extensive coverage is devoted to non–Markovian semi–Markov processes with continuous trajectories and, in particular, to semi–Markov diffusion processes. Readers looking to enrich their knowledge on Markov processes will find this book a valuable resource.