In this paper, we shall prove that the irreducibility in the sense of fine topology implies the uniqueness of invariant probability measures. It is also proven that this irreducibility is strictly weaker than the strong Feller property plus irreducibility in the sense of original topology, which is the usual uniqueness condition.
The Effect of Finite Element Discretisation on the Stationary Distribution of SPDEs
Tail asymptotic of the stationary distribution for the state dependent (1,R)-reflecting random walk: near critical
Rigorous bounds on the stationary distributions of the chemical master equation via mathematical programming
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