A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Existence of Regular Finite Invariant Measures for Markov Processes

1969
*
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 by

doi:10.2307/2036992
fatcat:nuisgw7scne6hoiwrw34yfvjlq