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Duals and inverse flows of generalized Ornstein-Uhlenbeck processes
Anita Behme, Henriette E. Heinrich, Alexander Lindner · 2025-04-07 · via math.PR updates on arXiv.org

We derive explicit representations for the (Siegmund) dual and the inverse flow of generalized Ornstein-Uhlenbeck processes whenever these exist. It turns out that the dual and the process corresponding to the inverse stochastic flow are again generalized Ornstein-Uhlenbeck processes. Further, we observe that the stationary distribution of the dual process provides information about the hitting time of zero of the original process.

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