Les deux révisions précédentesRévision précédenteProchaine révision | Révision précédente |
en:recherche [2022/03/04 15:19] – pardoux | en:recherche [2025/07/09 09:30] (Version actuelle) – pardoux |
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===== Articles ===== | ===== Articles ===== |
[156] Multi-patch multi-group epidemic model with varying infectivity, with R. Forien and G. Pang, submitted. arXiv:2111.06231, 2021. | |
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[155] Conditional propagation of chaos in a spatial stochastic epidemic model with common noise, with M.Hauray and Y.V. Vuong, | [166] {{ :en:ak-ep_nomouv_bded_arxiv.pdf |Spatial SIR epidemic model with varying infectivity without movement of individuals}}, with A. Kanga, //Pure and Applied Funct. Analysis//, to appear. |
//Stochastic and Partial Differential Equations//, arXiv:2111.0273, to appear. | |
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[154] Metastability between the clicks of the Müller ratchet, with M. Mariani and A. Velleret. arXiv:2007.14715, 2021. | [165] {{ :en:crisanpardoux_arxiv.pdf |Uniqueness of the solution of the filtering equations in spaces of measures}}, with D. Crisan, arXiv:2411.11125. |
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[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, submitted. | [164] {{ :en:spde_pangpardoux_arxiv.pdf |SPDE for stochastic SIR epidemic models with infection-age dependent infectivity}}, with G. Pang, arXiv2410.17200. |
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[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, submitted. | [163] {{ :en:clt_dim1_revised.pdf |A SIR epidemic model on a refining spatial grid II-central limit theorem}}, with T. Gallouët and T. Yeo, //Stoch. PDE : Anal. Comp.// **13**, 1, pp. 146-179, 2025. |
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[151] {{ :en:fclt-vi-arxiv.pdf |Functional central limit theorems for epidemic models with varying infectivity}}, with G. Pang, submitted. | [162] {{ :en:mathematics-12-02826.pdf |Epidemic models with varying infectivity on a refining spatial grid. I. The SI model}}, with A. Mougabe-Peurkor and T. Yeo, //Mathematics// **12**, 2024. |
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[150] {{ :fr:bep.pdf |A Spatial Stochastic Epidemic Model: Law of Large Numbers and Central Limit Theorem}}, with S. Bowong and A. Emakoua, //Stoch. PDE : Anal. Comp.//, to appear, 2022, https://doi.org/10.1007/s40072-021-00221-x. | [161] {{ :fr:clt_vuong.pdf |Central limit theorem for a spatial stochastic epidemic model with mean field interaction}}, with M. Hauray and Y. Vuong, arXiv:2212.02149 . |
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| [160] {{ :fr:2304.05211.pdf |Spatially dense stochastic epidemic models with infection-age dependent infectivity}}, with G. Pang, arXiv:2304.05211. |
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| [159] {{ :en:article_temps_d_extinction_ruma.pdf |Extinction time of an epidemic with infection age dependent infectivity}}, with A. Mougabe-Peurkor, I. Drame and M. N'zi, //Revista de la Union Matematica Argentina// **67**, pp. 417-443, 2024. |
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| [158] {{ :en:pafav9n3p863-published.pdf |PDE model for multi-patch epidemic models with migration and infection-age dependent infectivity}}, with G. Pang, //Pure and Applied Funct. Analysis// **9**, 3, pp.863-897, 2024. |
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| [157] {{ :en:epidemic_vvis-revised-update9.pdf |Stochastic epidemic models with varying infectivity and waning immunity}}, with R. Forien, G. Pang and A.B. Zotsa Ngoufack, //Annals of Applied Probability//, to appear. |
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| [156] {{ :en:puqr2022019-forien.pdf |Multi-patch multi-group epidemic model with varying infectivity}}, with R. Forien and G. Pang, // Probab. Uncertain. Quant. Risk// **7**, 4, pp. 333-364, 2022. |
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| [155] {{ :en:corrected_poc_spatial_epidemic_model.pdf |Conditional propagation of chaos in a spatial stochastic epidemic model with common noise}}, with M.Hauray and Y.V. Vuong, |
| //Stochastic and Partial Differential Equations// **10**, 3, pp. 1180-1210, 2022 |
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| [154] {{ :en:mpv_ptrf.pdf |Metastability between the clicks of the Müller ratchet}}, with M. Mariani and A. Velleret, // Probab. Theory Related Fields //, to appear. |
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| [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, //Graduate J. Math.// **7**, 19--75, 2022. |
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| [152] {{ :en:fllnandpdes_amo_published.pdf |Functional law of large numbers and PDEs for epidemic models with infection-age dependent infectivity}}, with G. Pang, //Applied Math. & Optimization// **87**, 2023. |
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| [151] {{ :en:fclt-varying_infectivity_revision5.pdf |Functional central limit theorems for epidemic models with varying infectivity}}, with G. Pang, //Stochastics// **95**, 819--866, 2023. |
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| [150] {{ :fr:bep.pdf |A Spatial Stochastic Epidemic Model: Law of Large Numbers and Central Limit Theorem}}, with S. Bowong and A. Emakoua, //Stoch. PDE : Anal. Comp.// **11**, pp. 31-105, 2023. |
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[147] {{ :en:multipatch_arxiv_may21.pdf |Multi-patch epidemic models with general infectious periods}}, with G. Pang, submitted. | [147] {{ :en:multipatch_arxiv_may21.pdf |Multi-patch epidemic models with general infectious periods}}, with G. Pang, //ESAIM P & S// **27**, pp. 345-401, 2023. |
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[146] {{ :en:funct_limit_theorem_gp-ep_arxiv.pdf |Functional limit theorems for non-Markovian epidemic models}}, with G. Pang, //Annals of Applied Probability//, to appear. | [146] {{ :en:funct_limit_theorem_gp-ep_arxiv.pdf |Functional limit theorems for non-Markovian epidemic models}}, with G. Pang, //Annals of Applied Probability// **32** pp. 1615-1665, 2022. |
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[145] {{ :drame-pardoux_tims_final.pdf |Approximation of the height process of a continuous state branching process with interaction}}, with 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}}, with I. Dramé, //Theor. Probability and Math. Statist.// **103**, pp. 3-39, 2020. |
[144] {{ :en:hairer-pardoux2021_article_fluctuationsaroundahomogenised.pdf |Fluctuations around a homogenized semilinear random PDE}}, with M. Hairer, //Archive for Rational Mechanics and Analysis// ** 239**, pp. 151-217, 2021. | [144] {{ :en:hairer-pardoux2021_article_fluctuationsaroundahomogenised.pdf |Fluctuations around a homogenized semilinear random PDE}}, with M. Hairer, //Archive for Rational Mechanics and Analysis// ** 239**, pp. 151-217, 2021. |
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[143] {{ :en:householdsde_paper.pdf |Household epidemic models and McKean-Vlasov Poisson driven SDEs}}, with R. Forien, //Annals of Applied Probability//, to appear. | [143] {{ :en:householdsde_paper.pdf |Household epidemic models and McKean-Vlasov Poisson driven SDEs}}, with R. Forien, //Annals of Applied Probability// **32**, pp. 1210-1233, 2022. |
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[142] {{ :en:ejp_moddev_published.pdf |Moderate Deviations and Extinction of an Epidemic}}, //Electron. J. Probab.// **25**, paper no. 25, 1-27, 2020. | [142] {{ :en:ejp_moddev_published.pdf |Moderate Deviations and Extinction of an Epidemic}}, //Electron. J. Probab.// **25**, paper no. 25, 1-27, 2020. |
[141] {{ :en:epardoux_cimom18_revised.pdf |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] {{ :en:epardoux_cimom18_revised.pdf |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. |
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[140] {{ :en:lpw_jotp_published.pdf |The height process of a continuous state branching process with interaction}}, with Z. Li and A. Wakolbinger, // J Theor Probab // **35**, pp. 142--185, 2022. | [140] {{ :en:li2022_article_theheightprocessofacontinuous-.pdf |The height process of a continuous state branching process with interaction}}, with Z. Li and A. Wakolbinger, // J Theor Probab // **35**, pp. 142--185, 2022. |
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[139] {{ ::aihp1807-002ra0.pdf |Extinction time and the total mass of the continuous state branching processes with competition}}, with 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}}, with Vi Le, //Stochastics// **92**, pp. 852-875, 2020. |
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[138] {{ ::modesteetiennetenanlln.pdf |A SIR model on a refining spatial grid I - Law of Large Numbers}}, with Modeste N'zi and Ténan Yeo, //Applied Math. & Optimization// **83**, pp. 1153-1189, 2021. | [138] {{ :en:nzi2021_article_asirmodelonarefiningspatialgri.pdf |A SIR model on a refining spatial grid I - Law of Large Numbers}}, with Modeste N'zi and Ténan Yeo, //Applied Math. & Optimization// **83**, pp. 1153-1189, 2021. |
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[137] {{ :en:rootparti.pdf |Stochastic epidemics in a homogeneous community}}, with Tom Britton, Part I of //Stochastic Epidemic Models with Inference//, T. Britton and E. Pardoux eds., Lecture Notes in Math. **2255**, pp. 1--120, Springer 2019. | [137] {{ :en:rootparti.pdf |Stochastic epidemics in a homogeneous community}}, with Tom Britton, Part I of //Stochastic Epidemic Models with Inference//, T. Britton and E. Pardoux eds., Lecture Notes in Math. **2255**, pp. 1--120, Springer 2019. |
[39] Filtrage non linéaire et équations aux dérivées partielles stochastiques associées. (French) [Nonlinear filtering and associated stochastic partial differential equations], in //Ecole d'été de Probabilités de Saint-Flour// XIX 1989, 67-163, Lecture Notes in Math. **1464**, Springer, Berlin, 1991. | [39] Filtrage non linéaire et équations aux dérivées partielles stochastiques associées. (French) [Nonlinear filtering and associated stochastic partial differential equations], in //Ecole d'été de Probabilités de Saint-Flour// XIX 1989, 67-163, Lecture Notes in Math. **1464**, Springer, Berlin, 1991. |
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[38] {{ :en:michelpardoux_calculmalliavin.pdf |An introduction to Malliavin calculus and some of its applications}}, with Michel, Dominique, in Recent advances in stochastic calculus (College Park, MD, 1987), 65-104, Progr. Automat. Info. Systems, Springer, New York, 1990. | [38] {{ :en:michelpardoux_calculmalliavin.pdf |An introduction to Malliavin calculus and some of its applications}}, with Michel, Dominique, in //Recent advances in stochastic calculus//, J.S. Baras & V. Mirelli Eds., p. 65-104, Springer, New York, 1990. |
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[37] {{ :buckdahnpardoux.pdf |Monotonicity methods for white noise driven quasi-linear SPDEs}}, with Buckdahn, R., in //Diffusion processes and related problems in analysis//, Vol. I (Evanston, IL, 1989), 219-233, Progr. Probab. **22**, Birkhäuser Boston, Boston, MA, 1990. | [37] {{ :buckdahnpardoux.pdf |Monotonicity methods for white noise driven quasi-linear SPDEs}}, with Buckdahn, R., in //Diffusion processes and related problems in analysis//, Vol. I (Evanston, IL, 1989), 219-233, Progr. Probab. **22**, Birkhäuser Boston, Boston, MA, 1990. |