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Criteria for ergodicity, exponential ergodicity and strong ergodicity of Markov processes
R. L. Tweedie
Journal:

Journal of Applied Probability / Volume 18 / Issue 1 / March 1981

Published online by Cambridge University Press:

14 July 2016, pp. 122-130

Print publication:

March 1981
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For regular Markov processes on a countable space, we provide criteria for the forms of ergodicity in the title in terms of the existence of solutions to inequalities involving the Q-matrix of the process. An application to birth-death processes is given.

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Criteria for ergodicity, exponential ergodicity and strong ergodicity of Markov processes