On the normal form of a stochastic matrix
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 60-72

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The normal form of a Markov chain's stochastic matrix is defined based on the concepts of state compatibility and safety. Compared to the classical normal form it contains more information for defining asymptotic equivalence of states.
Keywords: stochastic matrix, normal form
Mots-clés : Markov chain.
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Yu. A. Alpin; V. S. Alpina. On the normal form of a stochastic matrix. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 60-72. http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a5/