The Piecewise Deterministic Process Associated to EEQT
  In the framework of Event Enhanced Quantum Theory (EEQT) a probabilistic construction of the piecewise deterministic process associated with a dynamical semigroup is presented. The process generates sample histories of individual systems quantums systems continuously coupled to classical measuring devices; it gives a unique algorithm generating time series of pointer readings in real experiments with quantum systems. 
Ph. Blanchard, A. Jadczyk, R. Olkiewicz