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@article{faucris.276873179,
abstract = {We prove that the set of finite Borel measures on a separable and directionally limited metric space (X, d) is complete with respect to the metric d(A)(mu, v) = sup (A is an element of A)vertical bar mu (A) - nu(A)vertical bar for all families of Borel sets A that contain every closed ball of X. This allows to prove the existence and uniqueness of the invariant Borel probability measure of certain Markov processes on X. A natural application is a Markov process induced by a random similitude.},
author = {Dorsch, Florian},
doi = {10.1007/s00229-022-01399-7},
faupublication = {yes},
journal = {Manuscripta Mathematica},
note = {CRIS-Team WoS Importer:2022-06-17},
peerreviewed = {Yes},
title = {{Completeness} of certain metric spaces of measures},
year = {2022}
}