[Preprints | Published papers | Books | Others]
Preprints
Published papers
- Functional inequalities for Gaussian convolutions of compactly supported measures: explicit bounds and dimension dependence
In collaboration with Jean-Baptiste Bardet & Nathaël Gozlan & Pierre-André Zitt
Bernoulli (2018) Vol. 24, No. 1, 333-353
[HAL · arXiv · DOI] - Probabilistic and Piecewise Deterministic models in Biology
In collaboration with Betrand Cloez, Renaud Dessalles, Alexandre Genadot, Aline Marguet et Romain Yvinec
Esaim: Procs (2017) Vol. 60, 225-245
[HAL · arXiv · DOI] - On the persistence regime for Lotka-Volterra in randomly fluctuating environments
In collaboration with Pierre-André Zitt
ALEA (2017) Vol. 14, No. 2, 733-749
[HAL · arXiv] - Long time behavior of telegraph processes under convex potentials
In collaboration with Joaquin Fontbona & Hélène Guérin
Stochastic Processes and their Applications (2016) Vol. 126, no. 10, 3077-3101
[HAL · arXiv · DOI] - Effect of complex life cycles on genetic diversity: cyclical parthenogenesis
In collaboration with R. Rouger, K. Reichel, J.-P. Masson & S. Stoeckel
Heredity (2016)
[DOI] - Rare sex or out of reach equilibrium? The dynamics of FIS in partially clonal organisms
In collaboration with K. Reichel, J.-P. Masson, S. Arnaud-Haond & S. Stoeckel
BMC Genet. (2016) Vol. 17 (1)
[DOI] - Some simple but challenging Markov processes
Annales de la Faculté de Sciences de Toulouse (2015) Vol. 24, no. 4, 857-883
[HAL · arXiv · DOI] - Long time behavior of Markov processes and beyond
In collaboration with Florian Bouguet & Fabien Panloup & Christophe Poquet & Julien Reygner
Esaim: Proceedings and Surveys (2015) Vol. 51, 193-211
[HAL · arXiv · DOI] - Qualitative properties of certain piecewise deterministic Markov processes
In collaboration with Michel Benaïm & Stéphane Le Borgne & Pierre-André Zitt
Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques (2015) Vol. 51, no. 3, 1040-1075
[HAL · arXiv · DOI] - On the stability of planar randomly switched systems
In collaboration with Michel Benaïm & Stéphane Le Borgne & Pierre-André Zitt
Annals of Applied Probability (2014) Vol. 24, no. 1, 292-311
[HAL · arXiv · DOI] - On the length of one-dimensional reactive paths
In collaboration with Frédéric Cerou & Arnaud Guyader & Tony Lelièvre
ALEA Latin American Journal of Probability and Mathematical Statistics (2013) Vol. 10 (2), 359-389
[HAL · arXiv] - Total variation estimates for the TCP process
In collaboration with Jean-Baptiste Bardet & Alejandra Christen & Arnaud Guillin & Pierre-André Zitt
Electronic Journal of Probability (2013) Vol. 18, no 10, 1-21
[HAL · arXiv · DOI] - Quantitative ergodicity for some switched dynamical systems
In collaboration with Michel Benaïm & Stéphane Le Borgne & Pierre-André Zitt
Electronic Communications in Probability (2012) Vol. 17, no. 56, 1-14
[HAL · arXiv · DOI] - Quantitative estimates for the long time behavior of an ergodic variant of the telegraph process
In collaboration with Joaquin Fontbona & Hélène Guérin
Advances in Applied Probability (2012) Vol. 44, no. 4, 977-994
[HAL · arXiv · DOI] - Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck Equation
In collaboration with François Bolley & Arnaud Guillin
ESAIM Mathematical Modelling and Numerical Analysis (2010) Vol. 44, no. 5, 867-884
[HAL · arXiv · DOI] - Long time behavior of diffusions with Markov switching
In collaboration with Jean-Baptiste Bardet & Hélène Guérin
ALEA Latin American Journal of Probability and Mathematical Statistics (2010) Vol. 7, 151-170
[HAL · arXiv] - On the long time behavior of the TCP window size process
In collaboration with Djalil Chafaï & Katy Paroux
Stochastic Processes and their Applications (2010) Vol. 120, no. 8, 1518-1534
[HAL · arXiv · DOI] - On fine properties of mixtures with respect to concentration of measure and Sobolev type inequalities
In collaboration with Djalil Chafaï
Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques (2010) Vol. 46, no. 1, 72-96
[HAL · arXiv · DOI] - Propagation of chaos and Poincaré inequalities for a system of particles interacting through their cdf
In collaboration with Benjamin Jourdain
Annals of Applied Probability (2008) Vol. 18, no. 5, 1706-1736
[HAL · arXiv · DOI] - Logarithmic Sobolev Inequalities for Inhomogeneous Semigroups
In collaboration with Jean-François Collet
ESAIM Probability and Statistics (2008) Vol. 12, 492-504
[HAL · arXiv · DOI] - Probabilistic approach for granular media equations in the non uniformly convex case
In collaboration with Patrick Cattiaux & Arnaud Guillin
Probability Theory and Related Fields (2008) Vol. 140, no.1-2, 19-40
[HAL · ArXiv · DOI] - Concentration inequalities for Euler schemes
In collaboration with Denis Talay
Monte Carlo and Quasi-Monte Carlo Methods 2004, H. Niederreiter and D. Talay (Eds.), Springer-Verlag (2006) 355-371
[pdf] - Convergence to equilibrium for granular media equations and their Euler schemes
Annals of Applied Probability
(2003) Vol. 13, no. 2, 540-560
[pdf · DOI] - Équations de Hamilton-Jacobi et inégalités entropiques généralisées
In collaboration with Ivan Gentil
Comptes Rendus de l’Académie des Sciences Paris Sér. I Math (2002) Vol. 335, no. 5, 437-440
[pdf · DOI] - Logarithmic Sobolev Inequalities for some nonlinear PDE’s
Stochastic Processes and their Applications (2001) Vol. 95, no. 1, 109-132
[pdf · DOI] - Inégalités de Sobolev logarithmiques pour deux EDP non linéaires
Comptes Rendus de l’Académie des Sciences Paris Sér. I Math (2000) Vol. 331, no. 10, 819-822
[DOI]
Books
- Sur les inégalités de Sobolev logarithmiques
In collaboration with Cécile Ané, Sébastien Blachère, Djalil Chafaï, Pierre Fougères, Ivan Gentil, Cyril Roberto, Grégory Scheffer
Panoramas et Synthèses no. 10, SMF, Paris, xvi+217p (2000) - Recueil de modèles aléatoires
In collaboration with Djalil Chafaï
Mathématiques & Applications, Vol. 78 (2016), Springer
[HAL · DOI]