Geodesic
Uniform exponential convergence of Markov processes with respect to metrics corresponding to the weak topology
Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 3, pp. 570-571

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For homogeneous Markov processes we give sufficient conditions for the exponential convergence of one-dimensional distributions with respect to the metrics corresponding to the weak topology. This conditions are formulated in terms of transitional operators. 
@article{TVP_1983_28_3_a11,
     author = {E. I. Gordienko},
     title = {Uniform exponential convergence of {Markov} processes with respect to metrics corresponding to the weak topology},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {570--571},
     publisher = {mathdoc},
     volume = {28},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1983_28_3_a11/}
}
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E. I. Gordienko. Uniform exponential convergence of Markov processes with respect to metrics corresponding to the weak topology. Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 3, pp. 570-571. http://geodesic.mathdoc.fr/item/TVP_1983_28_3_a11/