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 ====== Publications ====== ====== Publications ======
 ===== 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.
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 ===== Articles ===== ===== Articles =====
-[156] Multi-patch multi-group epidemic model with varying infectivity, avec  R. Forien et G. Pang, submitted. arXiv:2111.06231, 2021.   
  
-[155] Conditional propagation of chaos in a spatial stochastic epidemic model with common noise, avec M.Hauray et Y.V. Vuong, +[166] {{ :fr:ak-ep_nomouv_bded_arxiv.pdf |Spatial SIR epidemic model with varying infectivity without movement of individuals}}: Law of Large Numbers, avec A. Kanga,  //Pure and Applied Funct. Analysis//, à paraître. 
-//Stochastic and Partial Differential Equations//, à paraître.+ 
 +[165] {{ :fr:crisanpardoux_arxiv.pdf |Uniqueness of the solution of the filtering equations in spaces of measures}}, avec D. Crisan, arXiv:2411.11125. 
 + 
 +[164] {{ :fr:spde_pangpardoux_arxiv.pdf |SPDE for stochastic SIR epidemic models with infection-age dependent infectivity}}, avec G. Pang, arXiv2410.17200. 
 + 
 +[163] {{ :fr:clt_dim1_revised.pdf |A SIR epidemic model on a refining spatial grid II-central limit theorem}}, avec T. Gallouët et T. Yeo, //Stoch. PDE : Anal. Comp.// **13**, 1, pp. 146-179, 2025. 
 + 
 +[162] {{ :fr:mathematics-12-02826.pdf |Epidemic models with varying infectivity on a refining spatial grid. I. The SI model}}, avec A. Mougabe-Peurkor et T. Yeo, //Mathematics// **12**, 2024. 
 + 
 +[161] {{ :fr:clt_vuong.pdf |Central limit theorem for a spatial stochastic epidemic model with mean field interaction}}, avec M. Hauray et Y. Vuong, arXiv:2212.02149. 
 + 
 +[160] {{ :fr:2304.05211.pdf |Spatially dense stochastic epidemic models with infection-age dependent infectivity}}, avec G. Pang, arXiv:2304.05211. 
 + 
 +[159] {{ :fr:article_temps_d_extinction_ruma.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// **67**, pp. 417-443, 2024. 
 + 
 +[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. 
 + 
 + 
 +[157] {{ :en:epidemic_vvis-revised-update9.pdf |Stochastic epidemic models with varying infectivity and waning immunity}}, avec R. Forien, G. Pang et A.B. Zotsa Ngoufack, //Annals of Applied Probability//, à paraître. 
 + 
 +[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.     
 + 
 +[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.
  
-[154] Metastability between the clicks of the Müller ratchet, avec M. Mariani et A. Velleret. arXiv:2007.14715, 2021.+[154] {{ :fr:mpv_ptrf.pdf |Metastability between the clicks of the Müller ratchet}}, avec M. Mariani et A. Velleret, // Probab. Theory Related Fields //, à paraître.
  
-[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, soumis.+[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.
  
-[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.+[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.
  
-[151] {{ :fr:fclt-vi-arxiv.pdf |Functional central limit theorems for epidemic models with varying infectivity}}, avec G. Pang, soumis.+[151] {{ :fr:fclt-vi-arxiv.pdf |Functional central limit theorems for epidemic models with varying infectivity}}, avec G. Pang, //Stochastics// **95**, 819--866, 2023.
  
-[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.
  
 [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-siam-final.pdf |Epidemic models with varying infectivity}}, avec R. Forien et G. Pang, //SIAM J. Applied Math.//, **81**, pp. 1893-1930, 2021. [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.
  
-[147] {{ :en:multipatch_arxiv_may21.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.
  
-[146] {{ :fr:epidemic-general-submission.pdf |Functional limit theorems for non-Markovian epidemic models}}, avec G. Pang, //Annals of Applied Probability//, à paraître.+[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. 
  
 [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. [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. 
  
-[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.
  
 [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.
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 [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.
  
-[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.
  
 [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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 [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.
  
-[38] An introduction to Malliavin calculus and some of its applications (avec Michel, Dominique), in Recent advances in stochastic calculus (College Park, MD, 1987), 65-104, Progr. Automat. Info. Systems, Springer, New York, 1990.+[38] An introduction to Malliavin calculus and some of its applications (avec Michel, Dominique), in //Recent advances in stochastic calculus// J.S. Baras & V. Mirelli Eds., p.  65-104, Springer, New York, 1990.
  
 [37] {{ :buckdahnpardoux.pdf |Monotonicity methods for white noise driven quasi-linear SPDEs}}(avec 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}}(avec 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.