,
Total variation estimates for the TCP process, Electron. J. Probab, vol.18, issue.10, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00655462
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation, M2AN Math. Model. Numer. Anal, vol.44, issue.5, pp.867-884, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00392397
On ergodic properties of nonlinear Markov chains and stochastic McKean-Vlasov equations, Theory Probab. Appl, vol.58, issue.4, pp.661-674, 2014. ,
Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states, J. Math. Neurosci, vol.1, issue.7, p.33, 2011. ,
Global-in-time classical solutions and qualitative properties for the NNLIF neuron model with synaptic delay, 2018. ,
Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience, Comm. Partial Differential Equations, vol.38, issue.3, pp.385-409, 2013. ,
Mean-field limit of generalized Hawkes processes, Stochastic Process. Appl, vol.127, issue.12, pp.3870-3912, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01217407
Microscopic approach of a time elapsed neural model, Math. Models Methods Appl. Sci, vol.25, issue.14, pp.2669-2719, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01159215
Stationary distributions for piecewise-deterministic Markov processes, J. Appl. Probab, vol.27, issue.1, pp.60-73, 1990. ,
Piecewise-deterministic Markov processes: a general class of nondiffusion stochastic models, J. Roy. Statist. Soc. Ser. B, vol.46, issue.3, pp.353-388, 1984. ,
Hydrodynamic limit for interacting neurons, J. Stat. Phys, vol.158, issue.4, pp.866-902, 2015. ,
Global solvability of a networked integrate-and-fire model of McKean-Vlasov type, Ann. Appl. Probab, vol.25, issue.4, pp.2096-2133, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00747565
Particle systems with a singular mean-field selfexcitation. Application to neuronal networks, Stochastic Process. Appl, vol.125, issue.6, pp.2451-2492, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01001716
Exponential stability of the stationary distribution of a mean field of spiking neural network, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01290264
Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics, Chaos, vol.27, issue.2, p.21101, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01412154
A model for neural activity in the absence of external stimuli, vol.22, pp.37-52, 2016. ,
On the integral equation of renewal theory, Ann. Math. Statistics, vol.12, pp.243-267, 1941. ,
On a toy model of interacting neurons, Ann. Inst. Henri Poincaré Probab. Stat, vol.52, issue.4, pp.1844-1876, 2016. ,
Neuronal dynamics: From single neurons to networks and models of cognition, 2014. ,
Volterra integral and functional equations, of Encyclopedia of Mathematics and its Applications, vol.34, 1990. ,
Non-linear age-dependent population dynamics, Arch. Rational Mech. Anal, vol.54, pp.281-300, 1974. ,
Non-parametric estimation of the spiking rate in systems of interacting neurons, Stat. Inference Stoch. Process, vol.21, issue.1, pp.81-111, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01327430
Relaxation in Time Elapsed Neuron Network Models in the Weak Connectivity Regime, Acta Appl. Math, vol.157, pp.45-74, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01148645
Dynamics of a structured neuron population, Nonlinearity, vol.23, issue.1, pp.55-75, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00387413
Relaxation and self-sustained oscillations in the time elapsed neuron network model, SIAM J. Appl. Math, vol.73, issue.3, pp.1260-1279, 2013. ,
Transport equations in biology, Frontiers in Mathematics, 2007. ,
Stochastic integration and differential equations, Stochastic Modelling and Applied Probability, vol.21, 2005. ,
Stability analysis for equilibria in age-specific population dynamics, Nonlinear Anal, vol.7, issue.12, pp.1291-1313, 1983. ,
Real and complex analysis, 1987. ,
On ergodic measures for McKean-Vlasov stochastic equations. In Monte Carlo and quasi-Monte Carlo methods, pp.471-486, 2004. ,
Theory of nonlinear age-dependent population dynamics, Monographs and Textbooks in Pure and Applied Mathematics, vol.89, 1985. ,