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en:recherche [2021/07/04 14:50] – pardouxen:recherche [2022/03/04 16:19] – pardoux
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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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 ===== Articles ===== ===== Articles =====
 +[156] Multi-patch multi-group epidemic model with varying infectivity, with  R. Forien and G. Pang, submitted. arXiv:2111.06231, 2021.  
  
-[153] Recent advances in epidemic modeling : non Markov stochastic models and their scaling limits, with R. Forien and G. Pang, submitted.+[155] 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//, arXiv:2111.0273, to appear. 
 + 
 +[154] Metastability between the clicks of the Müller ratchet, with M. Mariani and A. Velleret. arXiv:2007.14715, 2021. 
 + 
 +[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.
  
 [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. [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.
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 [151] {{ :en:fclt-vi-arxiv.pdf |Functional central limit theorems for epidemic models with varying infectivity}}, with G. Pang, submitted. [151] {{ :en:fclt-vi-arxiv.pdf |Functional central limit theorems for epidemic models with varying infectivity}}, with G. Pang, submitted.
  
-[150] {{ :fr:bep.pdf |A Spatial Stochastic Epidemic Model: Law of Large Numbers and Central Limit Theorem}}, with S. Bowong and A. Emakoua, submitted.+[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. 
  
 [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. [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.//, to appear.+[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, submitted. [147] {{ :en:multipatch_arxiv_may21.pdf |Multi-patch epidemic models with general infectious periods}}, with G. Pang, submitted.
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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//, to appear.
  
-[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.//, to appear. +[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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 [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] {{ :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 // (2020). https://doi.org/10.1007/s10959-020-01054-5+[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.
  
 [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.