Mean-Field Interaction

Lower Bound for the Coarse Ricci Curvature of Continuous-Time Pure-Jump Processes
We obtain a lower bound for the coarse Ricci curvature of continuous-time pure-jump Markov processes, with an emphasis on interacting …
Denis Villemonais
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Convergence of a non-failable mean-field particle system
The existing literature contains many examples of mean-field particle systems converging to the distribution of a Markov process …
William Oçafrain, Denis Villemonais
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Minimal quasi-stationary distribution approximation for a birth and death process
In a first part, we prove a Lyapunov-type criterion for the $\xi_1$-positive recurrence of absorbed birth and death processes and …
Denis Villemonais
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Uniform tightness for time-inhomogeneous particle systems and for conditional distributions of time-inhomogeneous diffusion processes
In this article, we consider time-inhomogeneous diffusive particle systems, whose particles jump from the boundary of a bounded open …
Denis Villemonais
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Quasi-stationary distributions and particular methods for the approximation of conditioned processes
My PhD thesis focuses on the study of the distributions of stochastic processes with absorption and their approximation. This processes …
Denis Villemonais
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Interacting Particle Systems and Yaglom Limit Approximation of Diffusions with Unbounded Drift
We study the existence and the exponential ergodicity of a general interacting particle system, whose components are driven by …
Denis Villemonais
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Approximation of quasi-stationary distributions for 1-dimensional killed diffusions with unbounded drifts
The long time behavior of an absorbed Markov process is well described by the limiting distribution of the process conditioned to not …
Denis Villemonais
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