Error analysis of tau-leap simulation methods, The Annals of Applied Probability, vol.21, issue.6, pp.2226-2262, 2011. ,
Continuous time markov chain models for chemical reaction networks, Design and Analysis of Biomolecular Circuits, p.17, 2011. ,
Invariant densities for dynamical systems with random switching, Nonlinearity, vol.25, pp.2937-2953, 2012. ,
Total variation estimates for the TCP process, vol.16, pp.1-25, 2011. ,
Qualitative properties of certain piecewise deterministic markov processes, 2012. ,
Introduction to point process from a martingale approach, 2005. ,
, Point Processes and Queues: Martingale Dynamics: Martingale Dynamics, 1981.
Stochastic Processes in Cell Biology, 2014. ,
Wasserstein decay of one dimensional jumpdiffusions, vol.16, 2012. ,
Stability and ergodicity of piecewise deterministic markov processes, Proceedings of the IEEE Conference on Decision and Control, vol.47, 2008. ,
Convergence of stochastic gene networks to hybrid piecewise deterministic processes, Annals of Applied Probability, vol.22, p.19, 2012. ,
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. ,
, Markov Models & Optimization, issue.2, 1993.
Eigenelements of a general aggregation-fragmentation model, vol.16, pp.1-25, 2009. ,
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. ,
Exact stochastic simulation of coupled chemical reactions. The journal of physical chemistry, vol.81, pp.2340-2361, 1977. ,
Adaptive hybrid simulations for multiscale stochastic reaction networks, 2014. ,
Point process theory and applications: marked point and piecewise deterministic processes. Probability and its applications, Birkhäuser, issue.2, 2006. ,
Central limit theorems and diffusion approximations for multiscale markov chain models, The Annals of Applied Probability, vol.24, issue.2, p.17, 2014. ,
Stochastic hybrid modeling of biochemical processes, Stochastic Hybrid Systems, vol.24, 2006. ,
Separation of time-scales and model reduction for stochastic reaction networks, Annals of Applied Probability, vol.23, issue.2, p.19, 2013. ,
The statistical dynamics of recurrent biological events, Journal of Mathematical Biology, vol.30, issue.8, p.16, 1992. ,
Dynamics and density evolution in piecewise deterministic growth processes, Annales polonici Mathematici, vol.15, 2008. ,
Dynamic behavior of stochastic gene expression models in the presence of bursting, SIAM Journal on Applied Mathematics, vol.73, issue.5, p.21, 2013. ,
Rough notes on the long time behavior of several PDMPs, vol.15, p.16, 2012. ,
Some simple but challenging markov processes, vol.2, p.15, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01097576
Quantitative ergodicity for some switched dynamical systems, Electronic Communications in Probability, vol.17, issue.56, pp.1-14, 2012. ,
On the stability of planar randomly switched systems, Annals of Applied Probability, vol.24, issue.1, pp.292-311, 2012. ,
Quantitative estimates for the long time behavior of a PDMP describing the movement of bacteria, vol.15, pp.1-22, 2010. ,
A survey of foster-lyapunov techniques for general state space markov processes, vol.15, pp.1-13 ,
Stability of markovian processes ii: continuous-time processes and sampled chains, Advances in Applied Probability, vol.25, pp.487-517, 1993. ,
Stability of markovian processes III: Foster-lyapunov criteria for continuous-time processes, Advances in Applied Probability, vol.25, issue.3, pp.518-548, 1993. ,
Markovian modelling of gene product synthesis, Theor. Popul. Biol, vol.48, pp.224-234, 1995. ,
, STOCHASTIC SEMIGROUPS AND THEIR APPLICATIONS TO BIO-LOGICAL MODELS, p.15, 2012.
Substochastic semigroups and densities of piecewise deterministic markov processes, vol.15, p.16, 2009. ,