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 ====== Publications ====== ====== Publications ======
 ===== Books ===== ===== Books =====
 +
 +[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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 [L4] Markov processes and applications. Algorithms, networks, genome and finance. Translated and revised from the 2007 French edition. Wiley Series in Probability and Statistics. John Wiley & Sons, Ltd., Chichester; Dunod, Paris, 2008. [L4] Markov processes and applications. Algorithms, networks, genome and finance. Translated and revised from the 2007 French edition. Wiley Series in Probability and Statistics. John Wiley & Sons, Ltd., Chichester; Dunod, Paris, 2008.
 +A Chinese translation has appeared in 2019. 
  
 [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.
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 ===== Articles ===== ===== Articles =====
-[146] {{ :en:funct_limit_theorem_gp-ep_arxiv.pdf |Functional limit theorems for non-Markovian epidemic models}}, with G. Pang, submitted. 
  
-[145] {{ ::drame-pardoux_tims.pdf |Approximation of the height process of a continuous state branching process with interaction}}, with I. Dramé, //Theor. Probability and Math. Statist.//, to appear. +[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. 
 + 
 +[165] {{ :en:crisanpardoux_arxiv.pdf |Uniqueness of the solution of the filtering equations in spaces of measures}}, with D. Crisan, arXiv:2411.11125. 
 + 
 +[164] {{ :en:spde_pangpardoux_arxiv.pdf |SPDE for stochastic SIR epidemic models with infection-age dependent infectivity}}, with G. Pang, arXiv2410.17200. 
 + 
 +[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. 
 + 
 +[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. 
 + 
 +[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 . 
 + 
 +[160] {{ :fr:2304.05211.pdf |Spatially dense stochastic epidemic models with infection-age dependent infectivity}}, with G. Pang, arXiv:2304.05211. 
 + 
 +[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. 
 + 
 +[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. 
 + 
 +[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. 
 + 
 +[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.   
 + 
 +[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 
 + 
 +[154] {{ :en:auretmauro.pdf |Metastability between the clicks of the Müller ratchet}}, with M. Mariani and A. Velleret, // Probab. Theory Related Fields //, to appear. 
 + 
 +[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. 
 + 
 +[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. 
 + 
 +[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. 
 + 
 +[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. 
 + 
 + 
 +[149] {{ :en:rsos.202327.pdf |Estimating the state of the Covid-19 epidemic in France using a non-Markovian model}}, with R. Forien and G. Pang,  // R. Soc. Open Sci.// **8**:202327, 2021. 
 +  
 +[148] {{ :en:varying_infectivity-siam-final.pdf |Epidemic models with varying infectivity}}, with R. Forien and 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}}, with G. Pang, //ESAIM P & S// **27**, pp. 345-401, 2023. 
 + 
 +[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.  
 + 
 +[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] {{ ::hairer_pardoux_homoclt.pdf |Fluctuations around a homogenized semilinear random PDE}}, with M. Hairer, submitted.+[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. 
  
-[143] {{ :en:householdsde_paper.pdf |Household epidemic models and McKean-Vlasov Poisson driven SDEs}}, with R. Forien, submitted.+[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.
  
 [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.
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 [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.
  
-[140] {{ ::zl-ep-aw-final.pdf |The height process of a continuous state branching process with interaction}}, with Z. Li and A. Wakolbinger, submitted.+[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.
  
-[139] {{ ::aihp1807-002ra0.pdf |Extinction time and the total mass of the continuous state branching processes with competition}}, with Vi Le, //Stochastics//, to appear.+[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.
  
-[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//, to appear.+[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.
  
 [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.