Denis Villemonais

Publications

Article dans une revue (34)

Quasi-limiting behaviour of the sub-critical Multitype Bisexual Galton-Watson Branching Process Coralie Fritsch,Denis Villemonais,Nicolás Zalduendo Bernoulli, 2026, 32 (1), pp.798-822. ⟨10.3150/25-BEJ1880⟩ Article dans une revue hal-04628438v2
Stochastic branching models for the telomeres dynamics in a model including telomerase activity Athanase Benetos,Coralie Fritsch,Emma Horton,Lionel Lenotre,Simon Toupanceet al. Journal of Mathematical Biology, 2025, 91 (8), ⟨10.1007/s00285-025-02230-z⟩ Article dans une revue hal-04648211v2
Uniform Wasserstein convergence of penalized Markov processes Nicolas Champagnat,Édouard Strickler,Denis Villemonais Probability Theory and Related Fields, 2025, 192 (3-4), pp.1031-1069. ⟨10.1007/s00440-025-01385-6⟩ Article dans une revue hal-04145204v1
Degenerate processes killed at the boundary of a domain Michel Benaïm,Nicolas Champagnat,William Oçafrain,Denis Villemonais The Annals of Probability, 2025, 53 (2), pp.720-752. ⟨10.1214/24-AOP1720⟩ Article dans une revue hal-03278551v1
A quasi-stationary approach to the long-term asymptotics of the growth-fragmentation equation Denis Villemonais,Alexander Watson The Annals of Applied Probability, 2025, 35 (2), ⟨10.1214/24-AAP2142⟩ Article dans une revue hal-03588374v2
Binary branching processes with Moran type interactions Alexander M.G Cox,E Horton,Denis Villemonais Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, In press, ⟨10.1214/23-AIHP1453⟩ Article dans une revue hal-03715678v2
The Multi-type Bisexual Galton-Watson Branching Process Coralie Fritsch,Denis Villemonais,Nicolás Zalduendo Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2024, 60 (4), pp.2975-3008. ⟨10.1214/23-AIHP1417⟩ Article dans une revue hal-03696115v2
Fluctuations of balanced urns with infinitely many colours Svante Janson,Cécile Mailler,Denis Villemonais Electronic Journal of Probability, 2023, 28, pp.1-72. ⟨10.1214/23-EJP951⟩ Article dans une revue hal-03508437v1
General diffusion processes as the limit of time-space Markov chains Alexis Anagnostakis,Antoine Lejay,Denis Villemonais The Annals of Applied Probability, 2023, 33 (5), pp.3620-3651. ⟨10.48550/arXiv.2206.03713⟩ Article dans une revue hal-02897819v2
General criteria for the study of quasi-stationarity Nicolas Champagnat,Denis Villemonais Electronic Journal of Probability, In press, ⟨10.1214/22-EJP880⟩ Article dans une revue hal-01672979v3
Transcritical bifurcation for the conditional distribution of a diffusion process Michel Benaïm,Nicolas Champagnat,William Oçafrain,Denis Villemonais Journal of Theoretical Probability, 2022, ⟨10.1007/s10959-022-01216-7⟩ Article dans une revue hal-03471911v1
Convergence of the Fleming-Viot process toward the minimal quasi-stationary distribution Nicolas Champagnat,Denis Villemonais ALEA : Latin American Journal of Probability and Mathematical Statistics, 2021, 18, pp.1-15. ⟨10.30757/ALEA.v18-01⟩ Article dans une revue hal-01895618v1
Probabilistic non-asymptotic analysis of distributed algorithms Nicolas Champagnat,René Schott,Denis Villemonais Stochastic Analysis and Applications, 2021, 36 (6), pp.981-998. ⟨10.1080/07362994.2020.1861952⟩ Article dans une revue hal-01710663v2
Stochastic approximation of quasi-stationary distributions for diffusion processes in a bounded domain Michel Benaïm,Nicolas Champagnat,Denis Villemonais Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2021, 57 (2), pp.726-739. ⟨10.1214/20-AIHP1093⟩ Article dans une revue hal-02101739v3
Stochastic Methods for Neutron Transport Equation III: Generational many-to-one and $k_\texttt{eff}$ Alexander M. G. Cox,Emma L. Horton,Andreas E. Kyprianou,Denis Villemonais SIAM Journal on Applied Mathematics, 2021, 81 (3), ⟨10.1137/19M1295854⟩ Article dans une revue hal-02390745v1
Lyapunov criteria for uniform convergence of conditional distributions of absorbed Markov processes Nicolas Champagnat,Denis Villemonais Stochastic Processes and their Applications, 2021, 135, pp.51-74. ⟨10.1016/j.spa.2020.12.005⟩ Article dans une revue hal-01503697v2
Practical criteria for R-positive recurrence of unbounded semigroups Nicolas Champagnat,Denis Villemonais Electronic Communications in Probability, 2020, 25 (6), pp.1-11. ⟨10.1214/20-ECP288⟩ Article dans une revue hal-02101680v2
Stochastic approximation on non-compact measure spaces and application to measure-valued P\'olya processes Cécile Mailler,Denis Villemonais The Annals of Applied Probability, 2020, 30 (5), ⟨10.1214/20-AAP1561⟩ Article dans une revue hal-01895621v1
Stochastic methods for the neutron transport equation I: Linear semigroup asymptotics Emma Horton,Andreas Eou Kyprianou,Denis Villemonais The Annals of Applied Probability, 2020, 30 (6), ⟨10.1214/20-AAP1567⟩ Article dans une revue hal-01895619v1
Impact of demography on extinction/fixation events Camille Coron,Sylvie Méléard,Denis Villemonais Journal of Mathematical Biology, 2019, 78 (3), pp.549-577. ⟨10.1007/s00285-018-1283-1⟩ Article dans une revue hal-01514977v2
Lower bound for the coarse Ricci curvature of continuous-time pure jump processes Denis Villemonais Journal of Theoretical Probability, 2019, ⟨10.1007/s10959-019-00918-9⟩ Article dans une revue hal-01652879v1
The individual’s signature of telomere length distribution Simon Toupance,Denis Villemonais,Daphné Germain,Anne Gégout-Petit,Eliane Albuissonet al. Scientific Reports, 2019, 9 (1), pp.1-8. ⟨10.1038/s41598-018-36756-8⟩ Article dans une revue hal-01925000v1
Uniform convergence of penalized time-inhomogeneous Markov processes Nicolas Champagnat,Denis Villemonais ESAIM: Probability and Statistics, 2018, 22, pp.129-162. ⟨10.1051/ps/2017022⟩ Article dans une revue hal-01290222v1
Exponential mixing properties for time inhomogeneous diffusion processes with killing Pierre del Moral,Denis Villemonais Bernoulli, 2018, 24 (2), pp.1010-1032. ⟨10.3150/16-BEJ845⟩ Article dans une revue hal-01083297v3
Uniform convergence of conditional distributions for absorbed one-dimensional diffusions Nicolas Champagnat,Denis Villemonais Advances in Applied Probability, 2018, 50 (1), pp.178-203. ⟨10.1017/apr.2018.9⟩ Article dans une revue hal-01166960v1
Uniform convergence to the Q-process Nicolas Champagnat,Denis Villemonais Electronic Communications in Probability, 2017, 22 (33), pp.1-7. ⟨10.1214/17-ECP63⟩ Article dans une revue hal-01395727v2
Convergence of a non-failable mean-field particle system William Oçafrain,Denis Villemonais Stochastic Analysis and Applications, 2017, 35 (4), pp.Pages 587-603. ⟨10.1080/07362994.2017.1288136⟩ Article dans une revue hal-01338421v1
Exponential convergence to quasi-stationary distribution for absorbed one-dimensional diffusions with killing Nicolas Champagnat,Denis Villemonais ALEA : Latin American Journal of Probability and Mathematical Statistics, 2017, 14, pp.177-199. ⟨10.30757/ALEA.v14-11⟩ Article dans une revue hal-01217843v1
Exponential convergence to quasi-stationary distribution and Q-process Nicolas Champagnat,Denis Villemonais Probability Theory and Related Fields, 2016, 164 (1), pp.243-283. ⟨10.1007/s00440-014-0611-7⟩ Article dans une revue hal-00973509v2
Minimal quasi-stationary distribution approximation for a birth and death process Denis Villemonais Electronic Journal of Probability, 2015, 20 (30), pp.1-18. ⟨10.1214/EJP.v20-3482⟩ Article dans une revue hal-00983773v3
Existence and uniqueness of a quasi-stationary distribution for Markov processes with fast return from infinity Servet Martinez,Jaime San Martin,Denis Villemonais Journal of Applied Probability, 2014, 51 (3), ⟨10.1239/jap/1409932672⟩ Article dans une revue hal-00944275v1
General approximation method for the distribution of Markov processes conditioned not to be killed Denis Villemonais ESAIM: Probability and Statistics, 2014, 10.1051/ps/2013045. ⟨10.1051/ps/2013045⟩ Article dans une revue hal-00598085v2
Uniform tightness for time-inhomogeneous particle systems and for conditional distributions of time-inhomogeneous diffusion processes Denis Villemonais Markov Processes And Related Fields, 2013, 19 (3), pp.543 - 562 Article dans une revue hal-00681601v1
Quasi-stationary distributions and population processes Sylvie Méléard,Denis Villemonais Probability Surveys, 2012, 9, pp.340-410. ⟨10.1214/11-PS191⟩ Article dans une revue hal-00653834v1

Ouvrages (1)

Séminaire de probabilités XLIX Emmanuel Boissard,Patrick Cattiaux,Arnaud Guillin,Laurent Miclo,Florian Bouguetet al. Donati-Martin, Catherine; Lejay, Antoine; Rouault, Alain. Springer, 2215, 2018, Lecture notes in mathematics, ⟨10.1007/978-3-319-92420-5⟩ Ouvrages hal-01931202v1

Chapitre d'ouvrage (1)

Criteria for exponential convergence to quasi-stationary distributions and applications to multi-dimensional diffusions Nicolas Champagnat,Koléhè Abdoulaye Coulibaly-Pasquier,Denis Villemonais Séminaire de Probabilités XLIX, 2215, Springer, pp. 165-182, 2018, Lecture Notes in Mathematics, ⟨10.1007/978-3-319-92420-5_5⟩ Chapitre d'ouvrage hal-01293622v2

Autre publication scientifique (1)

Exponential convergence to quasi-stationary distribution for multi-dimensional diffusion processes Nicolas Champagnat,Abdoulaye Coulibaly-Pasquier,Denis Villemonais 2016 Autre publication scientifique hal-01795090v1

Pré-publication, Document de travail (13)

Averaging principle for jump processes depending on fast ergodic dynamics Vincent Kagan,Edouard Strickler,Denis Villemonais 2025 Pré-publication, Document de travail hal-05329503v1
Quasi-stationary distributions in reducible state spaces Nicolas Champagnat,Denis Villemonais 2025 Pré-publication, Document de travail hal-03541248v5
Convergence of weighted branching processes Denis Villemonais,Nicolas Zalduendo 2026 Pré-publication, Document de travail hal-05469389v1
Quasi-compactness for dominated kernels with application to quasi-stationary distribution theory Denis Villemonais 2025 Pré-publication, Document de travail hal-05326379v1
Linear and uniform in time bound for the binary branching model with Moran type interactions A M G Cox,E Horton,Denis Villemonais 2025 Pré-publication, Document de travail hal-04919226v1
Quasi-stationary distribution for kinetic SDEs with low regularity coefficients Nicolas Champagnat,Tony Lelièvre,Mouad Ramil,Julien Reygner,Denis Villemonais 2024 Pré-publication, Document de travail hal-04720688v1
A branching model for intergenerational telomere length dynamics Athanasios Benetos,Olivier Coudray,Anne Gégout-Petit,Lionel Lenôtre,Simon Toupanceet al. 2023 Pré-publication, Document de travail hal-04242595v2
Quasi-compactness criterion for strong Feller kernels with an application to quasi-stationary distributions Michel Benaïm,Nicolas Champagnat,William Oçafrain,Denis Villemonais 2022 Pré-publication, Document de travail hal-03640205v1
Quasi-limiting estimates for periodic absorbed Markov chains Nicolas Champagnat,Denis Villemonais 2022 Pré-publication, Document de travail hal-03823655v1
Population processes with unbounded extinction rate conditioned to non-extinction Nicolas Champagnat,Denis Villemonais 2016 Pré-publication, Document de travail hal-01395731v1
Quasi-stationary distribution for multi-dimensional birth and death processes conditioned to survival of all coordinates Nicolas Champagnat,Denis Villemonais 2015 Pré-publication, Document de travail hal-01188172v1
Interacting particle systems and Yaglom limit approximation of diffusions with unbounded drift Denis Villemonais 2010 Pré-publication, Document de travail hal-00481580v2
Approximation of quasi-stationary distributions for 1-dimensional killed diffusions with unbounded drifts Denis Villemonais 2009 Pré-publication, Document de travail hal-00387054v1

Thèse (1)

Distributions quasi-stationnaires et méthodes particulaires pour l'approximation de processus conditionnés Denis Villemonais Probabilités [math.PR]. Ecole Polytechnique X, 2011. Français. ⟨NNT : ⟩ Thèse pastel-00672074v1

HDR (1)

Exponential convergence to a quasi-stationary distribution and applications Denis Villemonais Probability [math.PR]. Université de Lorraine (Nancy), 2019 HDR tel-02412497v1