. Anderson2011-[anderson, Error analysis of tau-leap simulation methods, The Annals of Applied Probability, vol.21, issue.6, pp.2226-2262, 2011.

;. Anderson2011a, . Anderson, D. F. Kurtz-;-anderson, and T. G. Kurtz, Continuous time markov chain models for chemical reaction networks, Design and Analysis of Biomolecular Circuits, p.17, 2011.

;. Bakhtin2012, . Bakhtin, Y. Hurth-;-bakhtin, and T. Hurth, Invariant densities for dynamical systems with random switching, Nonlinearity, vol.25, pp.2937-2953, 2012.

[. Bardet2011 and . Bardet, Total variation estimates for the TCP process, vol.16, pp.1-25, 2011.

[. Benaim2012 and . Benaïm, Qualitative properties of certain piecewise deterministic markov processes, 2012.

[. Bjoerk2005, . Björk, and T. Björk, Introduction to point process from a martingale approach, 2005.

P. Bremaud1981-;-bremaud, Point Processes and Queues: Martingale Dynamics: Martingale Dynamics, 1981.

[. Bressloff2014 and P. C. Bressloff-;-bressloff, Stochastic Processes in Cell Biology, 2014.

B. Cloez2012-;-cloez, Wasserstein decay of one dimensional jumpdiffusions, vol.16, 2012.

[. Costa2008, . Costa, O. Dufour-;-costa, and F. Dufour, Stability and ergodicity of piecewise deterministic markov processes, Proceedings of the IEEE Conference on Decision and Control, vol.47, 2008.

[. Crudu2012 and . Crudu, Convergence of stochastic gene networks to hybrid piecewise deterministic processes, Annals of Applied Probability, vol.22, p.19, 2012.

M. Davis, Piecewise-deterministic markov processes: A general class of non-diffusion stochastic models, Journal of the Royal Statistical Society. Series B (Methodological), vol.46, issue.3, p.12, 1984.

M. H. Davis, Markov Models & Optimization, issue.2, 1993.

;. Doumic2009, . Doumic, M. Gabriel-;-doumic, and P. Gabriel, Eigenelements of a general aggregation-fragmentation model, vol.16, pp.1-25, 2009.

[. Gibson2000, . Gibson, M. A. Bruck-;-gibson, and J. Bruck, Efficient exact stochastic simulation of chemical systems with many species and many channels, The Journal of Physical Chemistry A, vol.104, issue.9, pp.1876-1889, 2000.

D. T. Gillespie1977-[gillespie-;-gillespie, Exact stochastic simulation of coupled chemical reactions. The journal of physical chemistry, vol.81, pp.2340-2361, 1977.

[. Hepp2014 and . Hepp, Adaptive hybrid simulations for multiscale stochastic reaction networks, 2014.

. Jacobsen2006, Point process theory and applications: marked point and piecewise deterministic processes. Probability and its applications, Birkhäuser, issue.2, 2006.

[. Kang2014 and . Kang, Central limit theorems and diffusion approximations for multiscale markov chain models, The Annals of Applied Probability, vol.24, issue.2, p.17, 2014.

[. Kouretas2006 and . Kouretas, Stochastic hybrid modeling of biochemical processes, Stochastic Hybrid Systems, vol.24, 2006.

[. Kurtz2013, . Kurtz, T. G. Kang-;-kurtz, and H. Kang, Separation of time-scales and model reduction for stochastic reaction networks, Annals of Applied Probability, vol.23, issue.2, p.19, 2013.

[. Lasota1992 and . Lasota, The statistical dynamics of recurrent biological events, Journal of Mathematical Biology, vol.30, issue.8, p.16, 1992.

[. Mackey2008, T. Mackey, M. C. Mackey, and M. Tyran-kami?ska, Dynamics and density evolution in piecewise deterministic growth processes, Annales polonici Mathematici, vol.15, 2008.

[. Mackey2013 and . Mackey, Dynamic behavior of stochastic gene expression models in the presence of bursting, SIAM Journal on Applied Mathematics, vol.73, issue.5, p.21, 2013.

F. Malrieu2012-;-malrieu, Rough notes on the long time behavior of several PDMPs, vol.15, p.16, 2012.

F. Malrieu, Some simple but challenging markov processes, vol.2, p.15, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01097576

[. Malrieu2012b and . Malrieu, Quantitative ergodicity for some switched dynamical systems, Electronic Communications in Probability, vol.17, issue.56, pp.1-14, 2012.

[. Malrieu2012a and . Malrieu, On the stability of planar randomly switched systems, Annals of Applied Probability, vol.24, issue.1, pp.292-311, 2012.

[. Malrieu2010 and . Malrieu, Quantitative estimates for the long time behavior of a PDMP describing the movement of bacteria, vol.15, pp.1-22, 2010.

. Meyn-[meyn and S. P. Meyn, A survey of foster-lyapunov techniques for general state space markov processes, vol.15, pp.1-13

[. Meyn1993, . Meyn, S. P. Tweedie-;-meyn, and R. L. Tweedie, Stability of markovian processes ii: continuous-time processes and sampled chains, Advances in Applied Probability, vol.25, pp.487-517, 1993.

[. Meyn1993a, . Meyn, S. P. Tweedie-;-meyn, and R. L. Tweedie, Stability of markovian processes III: Foster-lyapunov criteria for continuous-time processes, Advances in Applied Probability, vol.25, issue.3, pp.518-548, 1993.

J. Peccoud1995-;-peccoud and B. Ycart, Markovian modelling of gene product synthesis, Theor. Popul. Biol, vol.48, pp.224-234, 1995.

[. Pichor2012 and . Pichór, STOCHASTIC SEMIGROUPS AND THEIR APPLICATIONS TO BIO-LOGICAL MODELS, p.15, 2012.

M. Tyran-kaminska2009-;-tyran-kami?ska, Substochastic semigroups and densities of piecewise deterministic markov processes, vol.15, p.16, 2009.