Quasi-stationary distributions (QSDs) offer a compelling framework for understanding the long-term behaviour of Markov processes that possess an absorbing state. In many natural and engineered systems ...

Figure 1: First-order Markov dynamics distort real constraints on flow. Although we considered passengers moving between cities in this illustration, we have analysed six diverse systems in detail, ...

We present a method for finding the age distribution of the absorbing semi-Markov process, age being the total time elapsed since the beginning of the process. Several examples are given. Journal ...