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On the existence of Markovian measures on continuous paths
Let $\mathbfη$ be a positive Radon measure on the space of continuous paths from R into a locally compact Polish space $Y$, and assume that $\mathbfη$ admits an invariant measure. We explicit conditions on $\mathbfη$ such that successive Markovianisation of $\mathbfη$ over any dense and countable se
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