The standard matrix method for calculating higher transition probabilities in a Markov process is briefly reviewed in the introduction. This method is extended to path multiplicities. Then a new ...

This paper gives easy proofs of conditional limit laws for the population size Z t of a critical Markov branching process whose offspring law is attracted to a stable law with index 1 + α, where 0 ≤ α ...

Probabilistic model checking and Markov decision processes (MDPs) form two interlinked branches of formal analysis for systems operating under uncertainty. These techniques offer a mathematical ...