On Time Reversal of Piecewise Deterministic Markov Processes
  We study the time reversal of a general 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. 
Andreas L\"opker and Zbigniew Palmowski
math.PR