Les deux révisions précédentesRévision précédenteProchaine révision | Révision précédente |
fr:recherche [2021/06/08 06:51] – pardoux | fr:recherche [2024/06/06 13:59] (Version actuelle) – pardoux |
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====== Publications ====== | ====== Publications ====== |
===== Livres ===== | ===== Livres ===== |
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| [L7] Stochastic Partial Differential Equations. An Introduction. SpringerBriefs in Mathematics, Springer 2021. |
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[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. |
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===== Articles ===== | ===== Articles ===== |
[152] {{ :fr:epidemic-age-pde-arxiv.pdf |Functional law of marge numbers and PDEs for epidemic models with infection-age dependent infectivity}}, avec G. Pang, soumis. | |
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[151] {{ :fr:fclt-vi-arxiv.pdf |Functional central limit theorems for epidemic models with varying infectivity}}, avec G. Pang, soumis. | [163] A SIR epidemic model on a refining spatial grid II-central limit theorem, avec T. Gallouët et T. Yeo, //Stoch. PDE : Anal. Comp.//, à paraître. https://doi.org/10.1007/s40072-024-00333-0 |
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| [162] {{ :fr:vi_si.pdf |Epidemic models with varying infectivity on a refining spatial grid. I. The SI model}}, avec A. Mougabe-Peurkor et T. Yeo. |
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| [161] {{ :fr:clt_vuong.pdf |Central limit theorem for a spatial stochastic epidemic model with mean field interaction}}, avec M. Hauray et Y. Vuong. |
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| [160] {{ :fr:2304.05211.pdf |Spatially dense stochastic epidemic models with infection-age dependent infectivity}}, avec G. Pang. |
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| [159] {{ :fr:extinction_arxiv.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. |
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| [158] {{ :fr:pafavmultipatchpde.pdf |PDE model for multipatch epidemic models with migration and infection-age dependent infectivity}}, avec G. Pang, //Pure and Applied Funct. Analysis// **9**, 3, pp.863-897, 2024. |
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| [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. |
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| [156] {{ :en:puqr2022019-forien.pdf |Multi-patch multi-group epidemic model with varying infectivity}}, avec R. Forien et G. Pang, // Probab. Uncertain. Quant. Risk// **7**, 4, pp. 333-364, 2022. |
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| [155] {{ :fr: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. |
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| [154] {{ :fr:auretmauro.pdf |Metastability between the clicks of the Müller ratchet}}, avec M. Mariani et A. Velleret. arXiv:2007.14715, 2021. |
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| [153] {{ :fr: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. |
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| [152] {{ :fr:fllnandpdes_amo_published.pdf |Functional law of large numbers and PDEs for epidemic models with infection-age dependent infectivity}}, avec G. Pang, //Applied Math. & Optimization// **87** 2023. |
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| [151] {{ :fr:fclt-vi-arxiv.pdf |Functional central limit theorems for epidemic models with varying infectivity}}, avec 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}}, avec S. Bowong et A. Emakoua, soumis. | [150] {{ :fr:bep.pdf |A Spatial Stochastic Epidemic Model: Law of Large Numbers and Central Limit Theorem}}, avec S. Bowong et A. Emakoua, //Stoch. PDE : Anal. Comp.// **11**, pp. 31-105, 2023. |
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[149] {{ :fr:rsos.202327.pdf |Estimating the state of the Covid-19 epidemic in France using a non-Markovian model}}, avec R. Forien et G. Pang, //R. Soc. Open Sci.// **8**:202327, 2021. | [149] {{ :fr:rsos.202327.pdf |Estimating the state of the Covid-19 epidemic in France using a non-Markovian model}}, avec R. Forien et G. Pang, //R. Soc. Open Sci.// **8**:202327, 2021. |
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[148] {{ :fr:varying-infectivity.pdf |Epidemic models with varying infectivity}}, avec R. Forien et G. Pang, //SIAM J. Applied Math.//, à paraître. | [148] {{ :fr:varying_infectivity-siam-final.pdf |Epidemic models with varying infectivity}}, avec R. Forien et G. Pang, //SIAM J. Applied Math.//, **81**, pp. 1893-1930, 2021. |
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[147] {{ ::multi-patch_arxiv.pdf |Multi-patch epidemic models with general infectious periods}}, avec G. Pang, soumis. | [147] {{ :en:multipatch_arxiv_may21.pdf |Multi-patch epidemic models with general infectious periods}}, avec G. Pang, //ESAIM P & S// **27**, pp. 345-401, 2023. |
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[146] {{ :fr:epidemic-general-submission.pdf |Functional limit theorems for non-Markovian epidemic models}}, avec G. Pang, soumis. | [146] {{ :fr:epidemic-general-submission.pdf |Functional limit theorems for non-Markovian epidemic models}}, avec G. Pang, //Annals of Applied Probability// **32** pp. 1615-1665, 2022. |
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[145] {{ :fr:drame-pardoux_tims.pdf |Approximation of the height process of a continuous state branching process with interaction}}, avec I. Dramé, // Theor. Probability and Math. Statist. //, à paraître. | [145] {{ :fr:drame-pardoux_tims.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. |
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[144] {{ :fr:hairer-pardoux2021_article_fluctuationsaroundahomogenised.pdf |Fluctuations around a homogenized semilinear random PDE}}, avec M. Hairer, //Archive for Rational Mechanics and Analysis//, **239**, pp. 151–217, 2021. | [144] {{ :fr:hairer-pardoux2021_article_fluctuationsaroundahomogenised.pdf |Fluctuations around a homogenized semilinear random PDE}}, avec M. Hairer, //Archive for Rational Mechanics and Analysis//, **239**, pp. 151–217, 2021. |
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[143] {{ :fr:householdsde_paper.pdf |Household epidemic models and McKean-Vlasov Poisson driven SDEs}}, avec R. Forien, //Annals of Applied Probability//, à paraître. | [143] {{ :fr:householdsde_paper.pdf |Household epidemic models and McKean-Vlasov Poisson driven SDEs}}, avec R. Forien, //Annals of Applied Probability// **32**, pp. 1210-1233, 2022. |
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[142] {{ :fr:ejp_moddev_published.pdf |Moderate Deviations and Extinction of an Epidemic}}, //Electron. J. Probab.// **25**, paper no. 25, 1-27, 2020. | [142] {{ :fr:ejp_moddev_published.pdf |Moderate Deviations and Extinction of an Epidemic}}, //Electron. J. Probab.// **25**, paper no. 25, 1-27, 2020. |
[141] {{ :fr: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] {{ :fr: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] {{ :fr:lpw_jotp_published.pdf |The height process of a continuous state branching process with interaction}}, avec Z. Li et A. Wakolbinger, //J. of Theor. Probab.//, à paraître. | [140] {{ :fr:lpw_jotp_published.pdf |The height process of a continuous state branching process with interaction}}, avec Z. Li et A. Wakolbinger, //J. of 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}}, 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. |
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[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//, à paraître. | [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. |
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[137] {{ :en:rootparti.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] {{ :en:rootparti.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. |