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Existence of Regular Finite Invariant Measures for Markov Processes
Proceedings of the American Mathematical Society
Let S be a locally compact Hausdorff space and let P(t, x, •) be a transition function on the Borel subsets of 5 with P(t, x, S)^a>0 for all ¿S:0, xES. In a recent paper V. E. Benes [l] obtains several necessary and sufficient conditions that P(t, x, ■) have an invariant measure ju in the space M(S)+ of strictly positive bounded regular Borel measures on 5 in the presence of several overriding conditions on the function P and the space 5. We propose to eliminate the need for these conditions bydoi:10.2307/2036992 fatcat:nuisgw7scne6hoiwrw34yfvjlq