On Levy's theorem concerning positiveness of transition probabilities of Markov processes: the circuit processes case
Sophia L. Kalpazidou · Journal of Applied Probability · 1993
We prove Lévy's theorem concerning positiveness of transition probabilities of Markov processes when the state space is countable and an invariant probability distribution exists. Our approach relies on the representation of transition probabilities in terms of the directed circuits that occur along the sample paths.