Publications

Coralie Fritsch, Denis Villemonais, Nicolás Zalduendo (2024). The Multi-type Bisexual Galton-Watson Branching Process. to appear in Annales de l’IHP Probability and Statistics.

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Alexander Cox, Emma Horton, Denis Villemonais (2024). Binary branching processes with Moran type interactions. to appear in Annales de l’IHP Probability and Statistics.

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Athanasios Benetos, Edouard Olivier Coudray, Anne Gégout-Petit, Lionel Lenôtre, Simon Toupance, Denis Villemonais (2023). A branching model for intergenerational telomere length dynamics. (Preprint).

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Nicolas Champagnat, Edouard Strickler, Denis Villemonais (2023). Uniform Wasserstein convergence of penalized Markov processes. (Preprint).

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Michel Benaïm, Nicolas Champagnat, William Oçafrain, Denis Villemonais (2023). Transcritical bifurcation for the conditional distribution of a diffusion process. Journal of Theoretical Probability, 36(3).

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Alexis Anagnostakis, Antoine Lejay, Denis Villemonais (2023). General diffusion processes as the limit of time-space Markov chains. The Annals of Applied Probability, 33(5).

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Svante Janson, Cécile Mailler, Denis Villemonais (2023). Fluctuations of balanced urns with infinitely many colours. Electronic Journal of Probability, 28.

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Nicolas Champagnat, Denis Villemonais (2022). General criteria for the study of quasi-stationarity. Electronic Journal of Probability, 28.

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Michel Benaïm, Nicolas Champagnat, William Oçafrain, Denis Villemonais (2022). Quasi-compactness criterion for strong Feller kernels with an application to quasi-stationary distributions. (working paper).

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Denis Villemonais, Alexander Watson (2022). A quasi-stationary approach to the long-term asymptotics of the growth-fragmentation equation. (preprint).

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Nicolas Champagnat, Denis Villemonais (2022). Quasi-stationary distributions in reducible state spaces. (preprint).

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Svante Janson, Cécile Mailler, Denis Villemonais (2021). Fluctuations of balanced urns with infinitely many colours. (preprint).

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Michel Benaïm, Nicolas Champagnat, Denis Villemonais (2021). Stochastic approximation of quasi-stationary distributions for diffusion processes in a bounded domain. Ann. Inst. H. Poincaré Probab. Statist., 57 (2).

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Nicolas Champagnat, Denis Villemonais (2021). Lyapunov criteria for uniform convergence of conditional distributions of absorbed Markov processes. SPA, 135.

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Michel Benaïm, Nicolas Champagnat, William Oçafrain, Denis Villemonais (2021). Degenerate processes killed at the boundary of a domain. (preprint).

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Alex Cox, Emma Horton, Andreas Kyprianou, Denis Villemonais (2021). Stochastic Methods for Neutron Transport Equation III: Generational many-to-one and $\texttt{k}_{eff}$. SIAM Journal on Applied Mathematics, 81 (3).

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Nicolas Champagnat, René Schott, Denis Villemonais (2021). Probabilistic Non-asymptotic Analysis of Distributed Algorithms. Stochastic Analysis and Applications, 39 (6).

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Nicolas Champagnat, Denis Villemonais (2021). Convergence of the Fleming-Viot process toward the minimal quasi-stationary distribution. ALEA, 18.

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Emma Horton, Andreas Kyprianou, Denis Villemonais (2020). Stochastic Methods for the Neutron Transport Equation I: Linear Semigroup asymptotics. Annals of Applied Probability, 30 (6).

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Cécile Mailler, Denis Villemonais (2020). Stochastic approximation on non-compact measure spaces and application to measure-valued Pólya processes. Annals of Applied Probability, 30 (5).

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Denis Villemonais (2020). Lower Bound for the Coarse Ricci Curvature of Continuous-Time Pure-Jump Processes. Journal of Theoretical Probability, 33.

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Nicolas Champagnat, Denis Villemonais (2020). Practical criteria for R-positive recurrence of unbounded semigroups. Electronic Communications in Probability, 25, paper no. 6.

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Denis Villemonais (2019). Exponential convergence to a quasi-stationary distribution and applications. (Habilitation à diriger des recherches).

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Camille Coron, Sylvie Méléard, Denis Villemonais (2019). Impact of demography on extinction/fixation events. Journal of Mathematical Biology, 78 (3).

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Simon Toupance, Denis Villemonais, Daphné Germain, Anne Gegout-Petit, Eliane Albuisson, Athanase Benetos (2019). The individual’s signature of telomere length distribution. Scientific Reports 9, article number:685.

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Nicolas Champagnat, Denis Villemonais (2018). Uniform convergence of penalized time-inhomogeneous Markov processes. ESAIM PS, 22.

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Pierre Del Moral, Denis Villemonais (2018). Exponential mixing properties for time inhomogeneous diffusion processes with killing. Bernoulli, 24 (2).

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Nicolas Champagnat, Koléhé Coulibaly-Pasquier, Denis Villemonais (2018). Criteria for Exponential Convergence to Quasi-Stationary Distributions and Applications to Multi-Dimensional Diffusions. Séminaire de Probabilités XLIX.

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Nicolas Champagnat, Denis Villemonais (2017). Uniform convergence to the $Q$-process. Electronic Communications in Probability, 22, paper no. 33.

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Nicolas Champagnat, Denis Villemonais (2017). Uniform convergence of conditional distributions for absorbed one-dimensional diffusions. Advances in Applied Probability, 50.

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Nicolas Champagnat, Denis Villemonais (2017). Exponential convergence to quasi-stationary distribution for absorbed one-dimensional diffusions with killing. ALEA, 14.

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William Oçafrain, Denis Villemonais (2017). Convergence of a non-failable mean-field particle system. Stochastic Analysis and Applications, 35 (4).

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Nicolas Champagnat, Denis Villemonais (2016). Population processes with unbounded extinction rate conditioned to non-extinction. (unsubmitted preprint).

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Nicolas Champagnat, Denis Villemonais (2016). Exponential convergence to quasi-stationary distribution and $Q$-process. Probability Theory and Related Fields, 164 (1).

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Nicolas Champagnat, Denis Villemonais (2015). Quasi-stationary distribution for multi-dimensional birth and death processes conditioned to survival of all coordinates. (unsubmitted preprint).

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Denis Villemonais (2015). Minimal quasi-stationary distribution approximation for a birth and death process. Electronic Journal of Probability 20, paper no. 30.

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Servet Martínez, Jaim San Martín, Denis Villemonais (2014). Existence and Uniqueness of a Quasistationary Distribution for Markov Processes with Fast Return from Infinity. Journal of Applied Probability, 51 (3).

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Denis Villemonais (2014). General approximation method for the distribution of Markov processes conditioned not to be killed. ESAIM Probability and Statistics 18.

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Denis Villemonais (2013). Uniform tightness for time-inhomogeneous particle systems and for conditional distributions of time-inhomogeneous diffusion processes. Markov Processes and Related Fields, 19 (3).

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Sylvie Méléard, Denis Villemonais (2012). Quasi-stationary distributions and population processes. Probability Surveys 9.

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Denis Villemonais (2011). Quasi-stationary distributions and particular methods for the approximation of conditioned processes. (PhD Thesis).

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Denis Villemonais (2011). Interacting Particle Systems and Yaglom Limit Approximation of Diffusions with Unbounded Drift. Electronic Journal of Probability 16, paper no. 61.

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Denis Villemonais (2009). Approximation of quasi-stationary distributions for 1-dimensional killed diffusions with unbounded drifts. (unsubmitted preprint).

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