# Stationary Solutions and Forward Equations for Controlled and Singular Martingale Problems

@inproceedings{Kurtz2001StationarySA, title={Stationary Solutions and Forward Equations for Controlled and Singular Martingale Problems}, author={Thomas G. Kurtz and Richard H. Stockbridge}, year={2001} }

Stationary distributions of Markov processes can typically be characterized as probability measures that annihilate the generator in the sense that for ; that is, for each such , there exists a stationary solution of the martingale problem for A with marginal distribution . This result is extended to models corresponding to martingale problems that include absolutely continuous and singular (with respect to time) components and controls. Analogous results for the forward equation follow as a… CONTINUE READING

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