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In this paper we consider /-irreducible Markov processes evolving in discrete or continuoustime, on a general state space. We develop a Lyapunov function criterion that permits one toobtain explicit bounds on the solution to Poisson's equation and, in particular, obtain conditionsunder which the solution is square integrable.These results are applied to obtain sufficient conditions that guarantee the validity of a functionalcentral limit theorem for the Markov process. As a second...

A Liapounov bound for solutions of the Poisson equation