Electronic Journal of Probability

On time reversal of piecewise deterministic Markov processes

Andreas Löpker and Zbigniew Palmowski

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We study the time reversal of a general Piecewise Deterministic Markov Process (PDMP). The time reversed process is defined as $X_{(T-t)-}$, where $T$ is some given time and $X_t$ is a stationary PDMP. We obtain the parameters of the reversed process, like the jump intensity and the jump measure.

Article information

Electron. J. Probab. Volume 18 (2013), paper no. 13, 29 pp.

Accepted: 23 January 2013
First available in Project Euclid: 4 June 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60J25: Continuous-time Markov processes on general state spaces
Secondary: 60J27: Continuous-time Markov processes on discrete state spaces

Piecewise Deterministic Markov Processes time reversal Stationary distribution

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Löpker, Andreas; Palmowski, Zbigniew. On time reversal of piecewise deterministic Markov processes. Electron. J. Probab. 18 (2013), paper no. 13, 29 pp. doi:10.1214/EJP.v18-1958. http://projecteuclid.org/euclid.ejp/1465064238.

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