Abstract
Two theorems on the existence of the potential of an ergodic Markov chain in an arbitrary phase space are proved.
References
N. V. Moskal'tsova and V. M. Shurenkov, “On asymptotics of the potential of a countable ergodic Markov chain,”Ukr. Mat. Zh.,45, No. 2, 265–270 (1993).
V. M. Shurenkov,Ergodic Markov Processes [in Russian], Nauka, Moscow (1989).
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Deceased
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 446–449, April, 1994.
This work was supported by the Ukrainian State Committee on Science and Technology.
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Moskal'tsova, N.V., Shurenkov, V.M. On potentials of ergodic Markov chains. Ukr Math J 46, 475–479 (1994). https://doi.org/10.1007/BF01060420
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DOI: https://doi.org/10.1007/BF01060420