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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 =====
-[146] {{ :fr:epidemic-general-submission.pdf |Functional limit theorems for non-Markovian epidemic models}} (avec G. Pang), soumis.  
  
-[145] {{ :fr:drame-pardoux_tims.pdf |Approximation of the height process of a continuous state branching process with interaction}} (avec I. Dramé), soumis.+[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. 
 + 
 +[161] {{ :fr:clt_vuong.pdf |Central limit theorem for a spatial stochastic epidemic model with mean field interaction}}, avec M. Hauray et Y. Vuong. 
 + 
 +[160] {{ :fr:2304.05211.pdf |Spatially dense stochastic epidemic models with infection-age dependent infectivity}}, avec G. Pang. 
 + 
 +[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. 
 + 
 +[158] {{ :fr:pde_multipatch.pdf |PDE model for multipatch epidemic models with migration and infection-age dependent infectivity}}, avec G. Pang, //Pure and Applied Funct. Analysis//, à paraître. 
 + 
 + 
 +[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] {{ :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] {{ :fr:auretmauro.pdf |Metastability between the clicks of the Müller ratchet}}, avec M. Mariani et A. Velleret. arXiv:2007.14715, 2021. 
 + 
 +[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: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, //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, //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. 
 + 
 +[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, //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// **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.
  
-[144] {{ :fr:hairer_pardoux_homoclt.pdf |Fluctuations around a homogenized semilinear random PDE}} (avec M. Hairer), soumis.+[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.+[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] {{ ::zl-ep-aw-final.pdf |The height process of a continuous state branching process with interaction}} (avec Z. Li et A. Wakolbinger), soumis.+[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//, à paraître.+[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//, 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.
  
-[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.
  
-[136] {{ :fr:articleesaim-ps_2020.pdf |Large deviation of the exit measure through a characteristic boundary for a Poisson driven SDE}} (avec Brice Samegni-Kepgnou), //ESAIM P & S//, à paraître.+[136] {{ :fr:articleesaim-ps_2020.pdf |Large deviation of the exit measure through a characteristic boundary for a Poisson driven SDE}}, avec Brice Samegni-Kepgnou, //ESAIM P & S//, **24**, pp. 148-185, 2020.
  
-[135] {{ :id-ep_ecpparu.pdf |Approximation of a generalized CSBP with interaction}} (avec Ibrahima Dramé), //Electron. Commun. Probab.//, **23** , 73, 1-14, 2018.+[135] {{ :id-ep_ecpparu.pdf |Approximation of a generalized CSBP with interaction}}, avec Ibrahima Dramé, //Electron. Commun. Probab.//, **23** , 73, 1-14, 2018.
  
-[134] {{ :ldp_reflected_april18.pdf |Large Deviation Principle for Reflected Poisson driven SDEs in Epidemic Models}} (avec Brice Samegni-Kepgnou), //Stoch. Anal. Appl.//  **37**, no. 5, 836–864, 2019.+[134] {{ :ldp_reflected_april18.pdf |Large Deviation Principle for Reflected Poisson driven SDEs in Epidemic Models}}, avec Brice Samegni-Kepgnou, //Stoch. Anal. Appl.//  **37**, no. 5, 836–864, 2019.
  
-[133] {{ :sjl_revised-2018.pdf |Small jumps asymptotic of the moving optimum Poisonian SDE}} (avec Elma Nassar), //Stochastic Processes and Applications// **129**, pp. 2320-2340, 2019.+[133] {{ :sjl_revised-2018.pdf |Small jumps asymptotic of the moving optimum Poisonian SDE}}, avec Elma Nassar, //Stochastic Processes and Applications// **129**, pp. 2320-2340, 2019.
  
-[132] {{ :kopp2018_jmb.pdf |Phenotypic lag and population extinction in the moving-optimum model: insights from a small-jumps limit}} (avec Michael Kopp et Elma Nassar), //J. Math. Biol.//, **77** 2018.+[132] {{ :kopp2018_jmb.pdf |Phenotypic lag and population extinction in the moving-optimum model: insights from a small-jumps limit}}, avec Michael Kopp et Elma Nassar, //J. Math. Biol.//, **77** 2018.
  
-[131] {{ :large_deviations_2016.pdf |Large deviations for infectious diseases models}}, (avec Peter Kratz), //Séminaire de Probabilités// **XLIX**, C. Donati-Martin, A. Lejay, A. Rouault eds., //Lecture Notes in Math.// **2215**, pp. 221-327, 2018.+[131] {{ :large_deviations_2016.pdf |Large deviations for infectious diseases models}}, avec Peter Kratz, //Séminaire de Probabilités// **XLIX**, C. Donati-Martin, A. Lejay, A. Rouault eds., //Lecture Notes in Math.// **2215**, pp. 221-327, 2018.
  
-[130] {{ :nonlinearfilteringdegennoise.pdf |Nonlinear filtering with degenerate noise}} (avec David Jaurès Fotsa-Mbogne), //Electron. Commun. Probab.// **22** , Paper No. 44, 14 pp., 2017+[130] {{ :nonlinearfilteringdegennoise.pdf |Nonlinear filtering with degenerate noise}}, avec David Jaurès Fotsa-Mbogne, //Electron. Commun. Probab.// **22** , Paper No. 44, 14 pp., 2017
  
-[129] {{ :sam-pard-jap.pdf |Large Deviation principle for Epidemic Models}}, (avec Brice Samegni-Kepgnou), //Journal Appli. Prob.// **54**, 905-920, 2017.+[129] {{ :sam-pard-jap.pdf |Large Deviation principle for Epidemic Models}}, avec Brice Samegni-Kepgnou, //Journal Appli. Prob.// **54**, 905-920, 2017.
  
-[128] {{ :continuity_fk_janvier2016.pdf |Continuity of the Feynman-Kac formula for a generalized parabolic equation}}, (avec A. Rascanu), //Stochastics// **89**, 726-752, 2017.+[128] {{ :continuity_fk_janvier2016.pdf |Continuity of the Feynman-Kac formula for a generalized parabolic equation}}, avec A. Rascanu, //Stochastics// **89**, 726-752, 2017.
  
-[127] {{ :articlejap_revised2.pdf |On the long time behavior of the solution of an SDE driven by a Poisson Point Process}}, (avec E. Nassar), //Adv. in Appl. Probab.// **49**, 344-367, 2017.+[127] {{ :articlejap_revised2.pdf |On the long time behavior of the solution of an SDE driven by a Poisson Point Process}}, avec E. Nassar, //Adv. in Appl. Probab.// **49**, 344-367, 2017.
  
-[126] {{ :khalifa_et_al.pdf |TMEM187-IRAK1 Polymorphisms Associated with Rheumatoid Arthritis Susceptibility in Tunisian and French Female Populations: Influence of Geographic Origin}}, (avec O. Khalifa, N. Balandrauid, N. Lambert, I. Auger, J. Roudier, A. Sénéchal, D. Geneviêve, C. Picard, G. Lefranc, I. Touitou, B. M'Madi Mrenda, C. Benedito, A.-L. Gagez, Y.-M. Pers, C. Jorgensen, T. Mahjoub et F. Apparailly)), //Journal of Immunology Research//, **2017**, Article ID 4915950, 12 pages, 2017.+[126] {{ :khalifa_et_al.pdf |TMEM187-IRAK1 Polymorphisms Associated with Rheumatoid Arthritis Susceptibility in Tunisian and French Female Populations: Influence of Geographic Origin}}, avec O. Khalifa, N. Balandrauid, N. Lambert, I. Auger, J. Roudier, A. Sénéchal, D. Geneviêve, C. Picard, G. Lefranc, I. Touitou, B. M'Madi Mrenda, C. Benedito, A.-L. Gagez, Y.-M. Pers, C. Jorgensen, T. Mahjoub et F. Apparailly, //Journal of Immunology Research//, **2017**, Article ID 4915950, 12 pages, 2017.
  
-[125] {{ :dramepardouxsow.pdf |Non-binary branching process and non-Markovian exploration process}}, (avec I. Dramé et A.B. Sow), //ESAIM P & S// **21**, 1-33, 2017.+[125] {{ :dramepardouxsow.pdf |Non-binary branching process and non-Markovian exploration process}}, avec I. Dramé et A.B. Sow, //ESAIM P & S// **21**, 1-33, 2017.
  
-[124] {{ :bahlalielouaflinpardouxspa17.pdf |Averaging for SDE-BSDE with null recurrent fast component Application to homogenization in a non periodic media}} (avec Khaled Bahlali et A. Elouaflin), //Stochastic Processes and Applications//, **127**, 1321-1353, 2017.+[124] {{ :bahlalielouaflinpardouxspa17.pdf |Averaging for SDE-BSDE with null recurrent fast component Application to homogenization in a non periodic media}}, avec Khaled Bahlali et A. Elouaflin, //Stochastic Processes and Applications//, **127**, 1321-1353, 2017.
  
-[123] {{ :bmpr.pdf |Stochastic variational inequalities on non-convex domains}} (avec R. Buckdahn, L. Maticiuc et A. Rascanu), //J. Differential Equations//, **259**, 7332-7374, 2015.+[123] {{ :bmpr.pdf |Stochastic variational inequalities on non-convex domains}}, avec R. Buckdahn, L. Maticiuc et A. Rascanu, //J. Differential Equations//, **259**, 7332-7374, 2015.
  
 [122] {{ :dpp.pdf |A mixing tree-valued process arising under neutral evolution with recombination}}, avec A. Depperschmidt, P. Pfaffelhuber, //Electron. J. Probab.//, **20** no. 94, 1-22, 2015. [122] {{ :dpp.pdf |A mixing tree-valued process arising under neutral evolution with recombination}}, avec A. Depperschmidt, P. Pfaffelhuber, //Electron. J. Probab.//, **20** no. 94, 1-22, 2015.