Les deux révisions précédentesRévision précédenteProchaine révision | Révision précédente |
recherche [2022/01/24 15:34] – pardoux | recherche [2024/02/16 14:57] (Version actuelle) – pardoux |
---|
===== Livres ===== | ===== Livres ===== |
| |
| [L7] // Stochastic Partial Differential Equations. An Introduction.// SpringerBriefs in Mathematics, Springer 2021. |
| |
[L6] {{ :pm_root.pdf |Probabilistic models of population evolution. Scaling limits and interactions}}. Springer, 2016. | [L6] {{ :pm_root.pdf |Probabilistic models of population evolution. Scaling limits and interactions}}. Springer 2016. |
| |
[L5] Stochastic Differential Equations, Backward SDEs, Partial Differential Equations (avec A. Rascanu), Stochastic Modelling and Applied Probability 69, Springer 2014. | [L5] Stochastic Differential Equations, Backward SDEs, Partial Differential Equations (avec A. Rascanu), Stochastic Modelling and Applied Probability 69, Springer 2014. |
[L3] Processus de Markov et applications. Algorithmes, réseaux, génome et finance, Dunod, Paris, 2007. | [L3] Processus de Markov et applications. Algorithmes, réseaux, génome et finance, Dunod, Paris, 2007. |
| |
[L2] Méthodes de Monte-Carlo pour les équations de transport et de diffusion (avec Lapeyre, Bernard; Sentis, Rémi), Mathémues & Applications (Berlin) [Mathematics & Applications] ,29. Springer-Verlag, Berlin, 1998. x+176 pp. ISBN: 3-540-63393-6 Engl. translation by Alan Craig and Fionn Craig: Introduction to Monte-Carlo methods for transport and diffusion equations. Oxford Texts in Applied and Engineering Mathematics, 6, Oxford University Press, Oxford, 2003. x+163 pp. ISBN: 0-19-852593-1 | [L2] Méthodes de Monte-Carlo pour les équations de transport et de diffusion (avec Lapeyre, Bernard; Sentis, Rémi), Mathématiques & Applications (Berlin) [Mathematics & Applications] ,29. Springer-Verlag, Berlin, 1998. x+176 pp. ISBN: 3-540-63393-6 Engl. translation by Alan Craig and Fionn Craig: Introduction to Monte-Carlo methods for transport and diffusion equations. Oxford Texts in Applied and Engineering Mathematics, 6, Oxford University Press, Oxford, 2003. x+163 pp. ISBN: 0-19-852593-1 |
| |
[L1] Méthodes Probabilistes pour les Equations de la Physique (avec M. Cessenat, G. Ledanois, P.L. Lions et R. Sentis, sous la responsabilité de R. Dautray),Eyrolles, 1989. | [L1] Méthodes Probabilistes pour les Equations de la Physique (avec M. Cessenat, G. Ledanois, P.L. Lions et R. Sentis, sous la responsabilité de R. Dautray),Eyrolles, 1989. |
| |
===== Articles ===== | ===== Articles ===== |
| [162] {{ ::si_mpy.pdf |Epidemic models with varying infectivity on a refining spatial grid. I. The SI model}}, avec A. Mougabe-Peurkor et T. Yeo. |
| |
[153] {{ :en:survey_forien-pang-pardoux2021.pdf |Recent advances in epidemic modeling : non Markov stochastic models and their scaling limits}}, with R. Forien and G. Pang, soumis. | [161] {{ ::clt_spatial_epidemic_model.pdf |Central limit theorem for a spatial stochastic epidemic model with mean field interaction}}, avec M. Hauray et Y. Vuong. |
| |
[152] {{ :en:epidemic-age-pde-arxiv.pdf |Functional law of large numbers and PDEs for epidemic models with infection-age dependent infectivity}}, with G. Pang, soumis. | [160] {{ ::2304.05211.pdf |Spatially dense stochastic epidemic models with infection-age dependent infectivity}}, avec G. Pang. |
| |
[151] {{ :en:fclt-vi-arxiv.pdf |Functional central limit theorems for epidemic models with varying infectivity}}, with G. Pang, soumis. | [159] {{ ::extinction_revision.pdf |Extinction time of an epidemic with infection age dependent infectivity}}, avec A. Mougabe-Peurkor, I. Drame and M. N'zi, //Revista de la Union Matematica Argentina//, à paraître. |
| |
[150] {{ :fr:bep.pdf |A Spatial Stochastic Epidemic Model: Law of Large Numbers and Central Limit Theorem}}, with S. Bowong and A. Emakoua, //Stoch. and PDEs//, https://doi.org/10.1007/s40072-021-00221-x. | [158] {{ ::pdemultipatch_pp.pdf |PDE model for multipatch epidemic models with migration and infection-age dependent infectivity}}, avec G. Pang. |
| |
| [157] {{ ::fppz_arxiv.pdf |Stochastic epidemic models with varying infectivity and susceptibility}}, avec R. Forien, G. Pang et A.B. Zotsa Ngoufack, arXiv.2210.04667. |
| |
| [156] {{ ::puqr2022019-forien.pdf |Multi-patch multi-group epidemic model with varying infectivity}}, avec R. Forien et G. Pang, //Probability, Uncertainty and Quantitative Risk// **7**, 4, pp. 333-364, 2022. |
| |
| [155] {{ ::corrected_poc_spatial_epidemic_model.pdf |Conditional propagation of chaos in a spatial stochastic epidemic model with common noise}}, avec M. Hauray et Y.V. Vuong, |
| //Stochastic and Partial Differential Equations// **10**, 3, pp. 1180-1210, 2022. |
| |
| [154] Metastability between the clicks of the Müller ratchet, with M. Mariani and A. Velleret. arXiv:2007.14715, 2021. |
| |
| [153] {{ :en:survey_forien-pang-pardoux2021.pdf |Recent advances in epidemic modeling : non Markov stochastic models and their scaling limits}}, avec R. Forien et G. Pang, //Graduate J. Math.// **7**, 19-75, 2022. |
| |
| [152] {{ :en:epidemic-age-pde-arxiv.pdf |Functional law of large numbers and PDEs for epidemic models with infection-age dependent infectivity}}, avec G. Pang, //Applied Math. & Optimization// **87**, 2023. |
| |
| [151] {{ ::fclt-varying_infectivity_revision5.pdf |Functional central limit theorems for epidemic models with varying infectivity}}, avec G. Pang, //Stochastics//, à paraître. |
| |
| [150] {{ :fr:bep.pdf |A Spatial Stochastic Epidemic Model: Law of Large Numbers and Central Limit Theorem}}, avec S. Bowong et A. Emakoua, //Stochastic and Partial Differential Equations// **11**, pp. 31-105, 2023. |
| |
[149] {{ ::rsos.202327.pdf |Estimating the state of the Covid-19 epidemic in France using a non-Markovian model}}, avec R. Forien et G. Pang, //Royal Society Open Science// **8**: 202327, 2021. | [149] {{ ::rsos.202327.pdf |Estimating the state of the Covid-19 epidemic in France using a non-Markovian model}}, avec R. Forien et G. Pang, //Royal Society Open Science// **8**: 202327, 2021. |
[148] {{ ::vi-siam.pdf |Epidemic models with varying infectivity}}, avec R. Forien et G. Pang, // SIAM J. Applied Math.// **81**, pp. 1893-1930, 2021. | [148] {{ ::vi-siam.pdf |Epidemic models with varying infectivity}}, avec R. Forien et G. Pang, // SIAM J. Applied Math.// **81**, pp. 1893-1930, 2021. |
| |
[147] {{ :multi-patch_arxiv.pdf |Multi-patch epidemic models with gneral infectious period}}, avec G. Pang, soumis. | [147] {{ :multi-patch_arxiv.pdf |Multi-patch epidemic models with general infectious period}}, avec G. Pang, //ESAIM : Probability & Statistics//, à paraître. |
| |
[146] {{ ::funct_limit_theorem_gp-ep_arxiv.pdf |Functional limit theorems for non-Markovian epidemic models}}, avec G. Pang, //Annals of Applied Probability//, à paraître. | [146] {{ ::funct_limit_theorem_gp-ep_arxiv.pdf |Functional limit theorems for non-Markovian epidemic models}}, avec G. Pang, //Annals of Applied Probability//, **32**, pp. 1615--1665, 2022. |
| |
[145] {{ :drame-pardoux_tims_final.pdf |Approximation of the height process of a continuous state branching process with interaction}} (avec I. Dramé), //Theor. Probability and Math. Statist.// **103**, pp. 3-39, 2020. | [145] {{ :drame-pardoux_tims_final.pdf |Approximation of the height process of a continuous state branching process with interaction}} (avec I. Dramé), //Theor. Probability and Math. Statist.// **103**, pp. 3-39, 2020. |
[144] {{ :hairer_pardoux_homoclt.pdf |Fluctuations around a homogenized semilinear random PDE}} (avec M. Hairer), // Archive for Rational Mechanics and Analysis// **239**, pp. 151–-217, 2021. | [144] {{ :hairer_pardoux_homoclt.pdf |Fluctuations around a homogenized semilinear random PDE}} (avec M. Hairer), // Archive for Rational Mechanics and Analysis// **239**, pp. 151–-217, 2021. |
| |
[143] {{ ::householdsde_paper.pdf |Household epidemic models and McKean--Vlasov Poisson driven SDEs}} (avec R. Forien), //Annals of Applied Probability//, à paraître. | [143] {{ ::householdsde_paper.pdf |Household epidemic models and McKean--Vlasov Poisson driven SDEs}} (avec R. Forien), //Annals of Applied Probability// **32**, pp. 1210--1233, 2022. |
| |
[142] {{ :mod-dev5_avec_corrections_.pdf |Moderate Deviations and Extinction of an Epidemic}}, //Electron. J. Probab.// **25**, paper no. 25, 1-27, 2020. | [142] {{ :mod-dev5_avec_corrections_.pdf |Moderate Deviations and Extinction of an Epidemic}}, //Electron. J. Probab.// **25**, paper no. 25, 1-27, 2020. |
[141] Deviations from the law of large numbers, and extinction of an endemic disease, in //Mathematical modeling of random and deterministic phenomena//, Manou--Abi, S.M., Dabo--Niang, S., Salone, J.J. eds., pp. 3--30, ISTE and Wiley, 2020. | [141] Deviations from the law of large numbers, and extinction of an endemic disease, in //Mathematical modeling of random and deterministic phenomena//, Manou--Abi, S.M., Dabo--Niang, S., Salone, J.J. eds., pp. 3--30, ISTE and Wiley, 2020. |
| |
[140] {{ ::zl-ep-aw-final.pdf |The height process of a continuous state branching process with interaction}} (avec Z. Li et A. Wakolbinger), // J Theor Probab // (2020). https://doi.org/10.1007/s10959-020-01054-5 | [140] {{ ::li2022_article_theheightprocessofacontinuous-.pdf |The height process of a continuous state branching process with interaction}} |
| (avec Z. Li et A. Wakolbinger), // J Theor Probab // **35**, pp. 142--185, 2022. |
| |
[139] {{ ::aihp1807-002ra0.pdf |Extinction time and the total mass of the continuous state branching processes with competition}} (avec Vi Le), //Stochastics// **92**, pp. 852--875, 2020. | [139] {{ ::aihp1807-002ra0.pdf |Extinction time and the total mass of the continuous state branching processes with competition}} (avec Vi Le), //Stochastics// **92**, pp. 852--875, 2020. |
| |
[138] {{ ::modesteetiennetenanlln.pdf |A SIR model on a refining spatial grid I - Law of Large Numbers}} (avec Modeste N'zi et Ténan Yeo), //Applied Math. & Optimization// **83**, pp. 1153-1189, 2021. | [138] {{ ::nzi2021_article_asirmodelonarefiningspatialgri.pdf |A SIR model on a refining spatial grid I - Law of Large Numbers}} (avec Modeste N'zi et Ténan Yeo), //Applied Math. & Optimization// **83**, pp. 1153-1189, 2021. |
| |
[137] {{ ::tb-ep.pdf |Stochastic epidemics in a homogeneous community}} (avec Tom Britton), Part I de //Stochastic Epidemic Models with Inference//, T. Britton and E. Pardoux eds., Lecture Notes in Math. **2255**, pp. 1--120, Springer 2019. | [137] {{ ::tb-ep.pdf |Stochastic epidemics in a homogeneous community}} (avec Tom Britton), Part I de //Stochastic Epidemic Models with Inference//, T. Britton and E. Pardoux eds., Lecture Notes in Math. **2255**, pp. 1--120, Springer 2019. |