Geodesic
On homogeneous Markov chains on semifields
Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 3, pp. 521-531

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The article is concerned with the analysis of the ergodic properties of a stochastic operator which defines a Markov chain with stationary transition probabilities on a semifield. Some conditions are given for the existence of invariant measure for a stochastic operator on the semifield of Borel functions on a metric space. 
@article{TVP_1981_26_3_a5,
     author = {\v{S}. A. Ajupov and T. A. Sarymsakov},
     title = {On homogeneous {Markov} chains on semifields},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {521--531},
     publisher = {mathdoc},
     volume = {26},
     number = {3},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a5/}
}
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Š. A. Ajupov; T. A. Sarymsakov. On homogeneous Markov chains on semifields. Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 3, pp. 521-531. http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a5/