Denis Villemonais

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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
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Stochastic branching models for the telomeres dynamics in a model including telomerase activity

Athanase Benetos , Coralie Fritsch , Emma Horton , Lionel Lenotre , Simon Toupance et 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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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The individual’s signature of telomere length distribution

Simon Toupance , Denis Villemonais , Daphné Germain , Anne Gégout-Petit , Eliane Albuisson et al.

Scientific Reports, 2019, 9 (1), pp.1-8. ⟨10.1038/s41598-018-36756-8⟩

Article dans une revue hal-01925000v1
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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

Séminaire de probabilités XLIX

Emmanuel Boissard , Patrick Cattiaux , Arnaud Guillin , Laurent Miclo , Florian Bouguet et 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
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Averaging principle for jump processes depending on fast ergodic dynamics

Vincent Kagan , Edouard Strickler , Denis Villemonais

2025

Pré-publication, Document de travail hal-05329503v1
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Quasi-stationary distributions in reducible state spaces

Nicolas Champagnat , Denis Villemonais

2025

Pré-publication, Document de travail hal-03541248v5
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Convergence of weighted branching processes

Denis Villemonais , Nicolas Zalduendo

2026

Pré-publication, Document de travail hal-05469389v1
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Quasi-compactness for dominated kernels with application to quasi-stationary distribution theory

Denis Villemonais

2025

Pré-publication, Document de travail hal-05326379v1
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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
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A branching model for intergenerational telomere length dynamics

Athanasios Benetos , Olivier Coudray , Anne Gégout-Petit , Lionel Lenôtre , Simon Toupance et al.

2023

Pré-publication, Document de travail hal-04242595v2
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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
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Quasi-limiting estimates for periodic absorbed Markov chains

Nicolas Champagnat , Denis Villemonais

2022

Pré-publication, Document de travail hal-03823655v1
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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
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Interacting particle systems and Yaglom limit approximation of diffusions with unbounded drift

Denis Villemonais

2010

Pré-publication, Document de travail hal-00481580v2
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Approximation of quasi-stationary distributions for 1-dimensional killed diffusions with unbounded drifts

Denis Villemonais

2009

Pré-publication, Document de travail hal-00387054v1