Asymptotic behavior of terminating Markov processes, near to ergodic
The purpose of this paper is the analysis of the limiting behavior of the transition kernel of the sequence of terminating Markov processes, near to ergodic. This analysis is based upon the one exposed in the well-known monography of the second author [Ergodic Markov processes (1989; Zbl 0687.60065)] and its extension to the class of terminating Markov processes became possible due to the reconstruction realized by the authors [Ukr. Math. J. 42, No.11, 1283-1288 (1990); translation from Ukr. Mat. Zh. 42, No.11, 1443-1448 (1990; Zbl 0719.60070)] of the analytic apparatus - the Markov renewal theory.
scientific article; zbMATH DE number 4211229