Short Communications

Uniform exponential convergence of Markov processes with respect to metrics corresponding to the weak topology

E. I. Gordienko

Moscow

Abstract: 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.

Received: 20.06.1980

 English version: Theory of Probability and its Applications, 1984, 28:3, 601–603

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