Exact simulation of the jump times of a class of Piecewise Deterministic   Markov Processes
  In this paper, we are interested in the exact simulation of a class of Piecewise Deterministic Markov Processes (PDMP). We show how to perform efficient thinning algorithms depending on the jump rate bound. For different types of jump rate bounds, we compare theoretically the mean number of generated (total) jump times and we compare numerically the simulation times. We use thinning algorithms on Hodgkin-Huxley models with Markovian ion channels dynamic to illustrate the results. 
Vincent Lemaire and Mich\`ele Thieullen and Nicolas Thomas
math.PR