Abstract In this paper single-unireducible Markov and semi-Markov chains are defined and their dynamic behaviour is analysed. The main results concern the asymptotic study of these processes. In fact it is proved that the topological structure of single-unireducibility represents a sufficient condition that guarantees the absorption after a sufficiently long period in the absorbing class for both Markov and semi-Markov chains. The probabilistic results are based on graph theory using relations between the graphs and transition matrices.
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D'Amico, G., Janssen, J., Manca, R. (2009). The Dynamic Behaviour of Non-Homogeneous Single-Unireducible Markov and Semi-Markov Chains. In: Naimzada, A.K., Stefani, S., Torriero, A. (eds) Networks, Topology and Dynamics. Lecture Notes in Economics and Mathematical Systems, vol 613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68409-1_10
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DOI: https://doi.org/10.1007/978-3-540-68409-1_10
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