====== Thèmes de recherche ====== ====== Publications ====== ===== 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. [L5] Stochastic Differential Equations, Backward SDEs, Partial Differential Equations (avec A. Rascanu), Stochastic Modelling and Applied Probability 69, Springer 2014. [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. [L3] Processus de Markov et applications. Algorithmes, réseaux, génome et finance, Dunod, Paris, 200 [L2] Méthodes de Monte-Carlo pour les équations de transport et de diffusion (avec Lapeyre, Bernard; Sentis, Rémi), Mathémues & Applications (Berlin) [Mathematics & Applications] ,29. Springer-Verlag, Berlin, 1998. x+176 pp. ISBN: 3-540-63393-6 Engl. translation by Alan Craig and Fionn Craig: Introduction to Monte-Carlo methods for transport and diffusion equations. Oxford Texts in Applied and Engineering Mathematics, 6, Oxford University Press, Oxford, 2003. x+163 pp. ISBN: 0-19-852593-1 [L1] Méthodes Probabilistes pour les Equations de la Physique,(avec M. Cessenat, G. Ledanois, P.L. Lions et R. Sentis, sous la rsponsabilité de R. Dautray),Eyrolles, 1989. ===== Articles ===== [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-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// **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. [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.// **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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [121] {{ :07-7206_hairer.pdf |A Wong-Zakai theorem for stochastic PDEs}}, avec M. Hairer, //J. Math. Soc. Japan// **67**, 1-54, 2015. [120] {{ :ep-aw-15.pdf |A path-valued Markov process indexed by the ancestral mass}}, avec A. Wakolbinger, //ALEA Lat. Am. J. Probab. Math. Stat.//, **12**, 193-212, 2015. [119] {{ :le_pardouxesaim-ps.pdf |Height and the total mass of the forest of genealogical trees of a large population with general competition}}, avec Vl Le, //ESAIM : Probability and Statistics//, **19**, 172-193, 2015. [118] {{ :aihp621.pdf |Branching processes with competition and generalized Ray Knight Theorem}}, avec M. Ba, //Annales de l'Institut Henri Poincaré - Probabilités et Statistiques// **51**, 1290-1313, 2015. [117] {{ :bbah_epardoux.pdf |Lambda-lookdown model with selection}}, avec B. Bah, //Stochastic Processes and Applications//, **125**, 1089-1126, 2015. [116] {{ :proc144807.pdf |Numerical methods in the context of compartmental models in epidemiology}}, avec P. Kratz et B. Samegni Kepnou, //ESAIM : Proceedings and Surveys// **48**, 169-189, 2014. [115] {{ :invmeasureselectiondec2013-final.pdf |Invariant measure selection by noise. An example}}, avec J. Mattingly, //Discrete Contin. Dyn. Syst.// **34**, no. 10, 4223-4257, 2014. [114] {{ :hla-dr_genotypes.pdf |HLA-DRB1 genotypes and the risk of developing anti citrullinated protein antibody (ACPA) positive rheumatoid arthritis}} (avec Nathalie Balandraud, Christophe Picard, Denis Reviron, Cyril Landais, Eric Toussirot, Nathalie Lambert, Emmanuel Telle, Caroline Charpin, Daniel Wendling, Isabelle Auger, Jean Roudier), //PLOS ONE// **8**, N 5, May 201 [113] {{ :hapapi-publie.pdf |Random homogenisation of a highly oscillatory singular potential}}, avec M. Hairer et A. Piatnitski, //Stoch. PDE : Anal. Comp.// **1**, 571-605, 2013. [112] {{ :spa2406.pdf |Muller's ratchet clicks in finite time}}. (avec Julien Audiffren), //Stochastic Processes and Applications// **123**, 2370 - 2397, 2013. . [111] {{ :lpwpublished.pdf |Trees under attack: a Ray-Knight representation of Feller's branching diffusion with logistic growth}} (avec V. Le, A. Wakolbinger), //Probab. Theory Relat. Fields// **155**, 583-619, 2013. [110] {{ :festschriftdn.pdf |The effect of competition on the height and length of the forest of genealogical trees of a large population}}. (avec Mamadou Ba), in //Malliavin Calculus and Related Topics, a Festschrift in Honor of David Nualart//, F. Viens, J. Feng, Y. Hu, E. Nualart Eds., Springer Proceedings in Mathematics and Statistics **34**, 445-467, 2012. [109] {{ :bb_ep_bs_springer.pdf |A look-down model with selection}}. (avec B. Bah, A. B. Sow), in //Stochastic Analysis and Related Topics//, Laurent Decreusefond et Jamal Najim Ed, Springer Proceedings in Mathematics and Statistics Vol **22**, 1-28, 2012. [108] {{ :aop650.pdf |Homogenization of a singular random on dimensional parabolic PDE with time varying coefficients}} (avec Piatnitski, Andrey), //Annals of Probab.// **40**, pp. 1316-1356, 2012. [107] {{ :appublished.pdf |Binary trees, exploration processes, and an extended Ray-Knight Theorem}} (avec Ba, Mamadou et Sow, Ahmadou, Bamba), //Journal of Applied Probability// **49**, 210-225, 2012. [106] {{ :pw_ecp.pdf |From Brownian motion with a local time drift to Feller's branching diffusion with logistic growth}} (avec A. Wakolbinger), //Electronic. Comm. Probab.// **16**, 720-731, 2011. [105] {{ :epabs-sd.pdf |Homogenization of a periodic degenerate semilinear elliptic PDE}} (avec A. B. Sow), //Stochastics and Dynamics// **11**, 475-493, 2011. [104] {{ :jcomputbiol.pdf |Compound Poisson approximation and testing for gene clusters with multigene families}} (avec S. Grusea, O. Chabrol, P. Pontarotti), //J. Comput. Biol.// **18** , 579-594, 2011. [103] {{ :pardoux-wakolbinger-survey.pdf |From exploration paths to mass excursions - variations on a theme of Ray and Knight}}.(avec Wakolbinger, Anton), in //Surveys in Stochastic Processes//, Proc. 33rd SPA Conf. Berlin, 2009, J. Blath, P. Imkeller, S. Roelly eds. EMS Series of Congress reports, 87-106, 2011. [102] {{ :amp-ejp.pdf |Survival of a single mutant in one dimension}} (avec Andjel, Enrique; Miller, Judith), //Electronic J. Probab// **15**, 2010. [101] {{ :article-101-.pdf |A weak convergence theorem for particle motion in a stochastic field}} (avec Elskens, Yves), Annals of Applied Probab., 20, 2022-2039, 2010. [100] {{ :argrevision3.pdf |Evolution of the ancestral recombination graph along the genome in case of a selective sweep}}. (avec Léocard, Stéphanie) //J. Math. Biology// **61**, 819-841, 2010. [99] {{ :viscositysolt.pdf |Viscosity solutions for systems of parabolic variational inequalities}} (avec Maticiuc, Luciani; Rascanu, Aurel; Zalinescu, Adrian), //Bernoulli// **16**, 258-273, 2010. [98] {{ :arg-ep-ms.pdf |On the height and length of the ancestral recombination graph}} (avec Salamat, Majid), //J. Appl. Prob.// **46**, 669-689, 2009. [97] {{ :article-97-.pdf |A probabilistic formula for a Poisson equation with Neumann boundary conditions}} (avec Benchérif-Madani, Abdellatif), //Stoch. Anal. Appl.// **27**, 739-746, 2009. [96] {{ :article-96-.pdf |Homogenization of periodic semilinear parabolic degenerate PDES}} (avec A. B. Sow, R. Rhodes), //Ann. I. H. Poincaré - AN// **26**,979-998, 2009. [95] {{ :ejp-2009-1931.pdf |Homogenization of semilinear PDEs with discontinuous averaged coefficients}}. (avec K. Bahlali, A. Elouaflin), //Electronic J. of Probability// **14**, 477-499, 2009. [94] {{ :jfa.pdf |Homogenization of periodic linear degenerate PDEs}}. (avec M. Hairer), //J. Funct. Anal.// **255**, No. 9, 2462-2487, 2008. [93] {{ :biepap.pdf |Homogenization of a singular random one-dimensional PDE}} (avec Iftimie, Bogdan; Piatnitski, Andrey), //Ann. Inst. Henri Poincaré Probab. Stat.// **44**, no. 3, 519-543, 2008. [92] {{ :bencherifpardoux.pdf |Homogenization of a semilinear parabolic PDE with locally periodic coefficients: a probabilistic approach}} (avec Benchérif-Madani, Abdellatif), //ESAIM Probab. Stat.// **11**, 385-411, 2007. [91] {{ :avecalassane.pdf |Homogenization of periodic semilinear hypoelliptic PDEs}} (avec Diédhiou, Alassane), //Ann. Fac. Sci. Toulouse Math.// **16**, no. 2, 253-283, 2007. [90] {{ :cpam.pdf |Malliavin calculus for the stochastic 2D Navier-Stokes equation}} (avec Mattingly, Jonathan C.), //Comm. Pure Appl. Math.// **59** (2006), 1742-1790, 2006. [89] Homogenization of a singular random one dimensional PDE (avec Piatnitski, Andrey), in //Multi scale problems and asymptotic analysis//, 291-303, GAKUTO, Internat. Ser. Math. Sci. Appl. **24**, Gakkotosho, Tokyo, 2006. [88] {{ :dipp.pdf |Singular homogenization with stationary in time and periodic in space coefficients}} (avec Diop, M. A.; Iftimie, B.; Piatnitski, A. L.), //J. Funct. Anal.// **231**, no. 1, 1-46, 2006. [87] {{ :pave3.pdf |On the Poisson equation and diffusion approximation III}} (avec Veretennikov, A. Yu.), //Ann. Probab.// **33**, no. 3, 1111-1133, 2005. [86] Homogenization of a diffusion with locally periodic coefficients (avec Benchérif-Madani, Abdellatif), in //Séminaire de Probabilités// XXXVIII, 363-392, Lecture Notes in Math. **1857**, Springer, Berlin, 2005. [85] Backward stochastic differential equations associated to a symmetric Markov process (avec Bally, V.; Stoica, L.), Potential Anal., 22, no. 1, 17-60, 2005. [84] {{ :pardouxzeitouni.pdf |Quenched large deviations for one dimensional nonlinear filtering}} (avec Zeitouni, Ofer), //SIAM J. Control Optim.// **43**, no. 4, 1272-1297, 2004/05. [83] Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations (avec Hairer, Martin; Mattingly, Jonathan C.), //C. R. Math. Acad. Sci. Paris// **339**, no. 11, 793-796, 2004. [82] {{ :ep-abs_82_.pdf |Probabilistic interpretation of a system of quasilinear parabolic PDEs}} (avec Sow, A. B.), //Stochastics & Stoch. Rep.// **76**, no. 5, 429-477, 2004. [81] {{ :bdhps2003.pdf |$L\sp p$ solutions of backward stochastic differential equations}}. (avec Briand, Ph.; Delyon, B.; Hu, Y.; Stoica, L.), //Stochastic Process. Appl.// **108**, no. 1, 109-129, 2003. [80] {{ :pave2.pdf |On Poisson equation and diffusion approximation II}} (avec Veretennikov, A. Yu.), //Ann. Probab.// **31**, no. 3, 1166-1192, 2003. [79] {{ :ep-ap-spa.pdf |Homogenization of a nonlinear random parabolic partial differential equation}} (avec Piatnitski, A. L.), //Stochastic Process. Appl.// **104**, no. 1, 1-27, 2003. [78] {{ :pave1.pdf |On the Poisson equation and diffusion approximation I}} (avec Veretennikov, A. Yu.), //Ann. Probab.// **29**, no. 3, 1061-1085, 2001. [77] {{ :gg-ep.pdf |BSDEs, convergence in law and homogenization of semilinear parabolic PDEs}} (avec Gaudron, Guillaume), //Ann. Inst. H. Poincaré Probab. Statist.// **37**, no. 1, 1-42, 2001. [76] On the smoothness of an invariant measure of a Markov chain with respect to a parameter (avec Veretennikov, A. Yu.), (in Russian) //Dokl. Akad. Nauk// **370**, no. 2, 158-160, 2000. [75] {{ :ep-ar_75_.pdf |Backward stochastic variational inequalities}} (avec Rascanu, Aurel), //Stochastics & Stoch. Rep.// **67**, no. 3-4, 159-167, 1999. [74] {{ :pardouxjfa.pdf |Homogenization of linear and semilinear second order parabolic PDEs with periodic coefficients: a probabilistic approach}}, //J. Funct. Anal.// **167**, no. 2, 498-520, 1999. [73] The critical exponent for a stochastic PDE to hit zero (avec Mueller, Carl), in //Stochastic analysis, control, optimization and applications//, 325-338, Systems Control Found. Appl., Birkhäuser Boston, Boston, MA, 1999. [72] {{ :ep-st_72_.pdf |Forward-backward stochastic differential equations and quasilinear parabolic PDEs}} (avec Tang, Shanjian), //Probab. Theory Related Fields// **114** , no. 2, 123-150, 1999. [71] BSDEs, weak convergence and homogenization of semilinear PDEs, in //Nonlinear analysis, differential equations and control// (Montreal, QC, 1998), 503-549, NATO Sci. Ser. C Math. Phys. Sci., **528**, Kluwer Acad. Publ., Dordrecht, 1999. [70] {{ :geilo.pdf |Backward stochastic differential equations and viscosity solutions of systems of semilinear parabolic and elliptic PDEs of second order}}, in //Stochastic analysis and related topics VI// (Geilo, 1996), 79-127, Progr. Probab., **42**, Birkhäuser Boston, Boston, MA, 1998. [69] {{ :ballypardoux.pdf |Malliavin calculus for white noise driven parabolic SPDEs}} (avec Bally, Vlad), //Potential Anal.// **9**, no. 1, 27-64, 1998. [68] {{ :ep-ar-spa.pdf |Backward stochastic differential equations with subdifferential operator and related variational inequalities}} (avec Rascanu, Aurel), //Stochastic Process. Appl.// **76**, no. 2, 191-215, 1998. [67] {{ :ep-sz_67_.pdf |Generalized BSDEs and nonlinear Neumann boundary value problems}} (avec Zhang, Shuguang) //Probab. Theory Related Fields//, **110** no. 4, 535-558, 1998. [66] Generalized discontinuous backward stochastic differential equations, in //Backward stochastic differential equations//, (Paris, 1995-1996), 207-219, Pitman Res. Notes Math. Ser. **364**, Longman, Harlow, 1997. [65] {{ :article.scanne.pdf |Averaging of backward stochastic differential equations, with application to semi-linear PDE's}} (avec Veretennikov, A. Yu.), //Stochastics & Stoch. Rep.// **60**, no. 3-4, 255-270, 1997. [64] SPDEs with reflection and Malliavin calculus (avec Donati-Martin, C.), //Bull. Sci. Math.// **121**, no. 5, 405-422,1997. [63] Probabilistic interpretation of a system of semi-linear parabolic partial differential equations (avec Pradeilles, Frédéric; Rao, Zusheng), //Ann. Inst. H.Poincaré Probab. Statist.// **33**, no. 4, 467-490, 1997. [62] {{ :euclid.aop.1024404508.pdf |Backwards SDE with random terminal time and applications to semilinear elliptic PDE}} (avec Darling, R. W. R.), //Ann. Probab.// **25**, no. 3, 1135-1159, 1997. [61] {{ :gb-rb-ep_61_.pdf |Backward stochastic differential equations and integral-partial differential equations}} (avec Barles, Guy; Buckdahn, Rainer), //Stochastics & Stoch. Rep.// **60**, no. 1-2, 57-83, 1997. [60] {{ :kkppq.pdf |Reflected solutions of backward SDE's, and related obstacle problems for PDE's}} (avec El Karoui, N.; Kapoudjian, C.; Peng, S.; Quenez, M. C.), //Ann. Probab.// **25**, no. 2, 702-737, 1997. [59] {{ :agp-ep_59_.pdf |Backward stochastic differential equations reflected in a convex domain}} (avec Gégout-Petit, A.), //Stochastics & Stoch. Rep.// **57**, no. 1-2, 111-128, 1996. [58] Asymptotic stability of the optimal filter with respect to its initial condition (avec Ocone, Daniel), //SIAM J. Control Optim.// **34**, no. 1, 226-243, 1996. [57] Backward stochastic differential equations and applications, //Proceedings of the International Congress of Mathematicians//, Vol. 1, 2 (Zürich, 1994), 1502-1510, Birkhäuser, Basel, 1995. [56] {{ :fr:kurtzpardouxprotter.pdf |Stratonovich stochastic differential equations driven by general semimartingales}} (avec Kurtz, Thomas G.; Protter, Philip), //Ann. Inst. H. Poincaré Probab. Statist.// **31**, no. 2, 351-377, 1995. [55] {{ :dn-ep_55_.pdf |Markov field properties of solutions of white noise driven quasi-linear parabolic PDEs}} (avec Nualart, D.), //Stochastics & Stoch. Rep.// **48**, no. 1-2, 17-44, 1994. [54] {{ :1-s2.0-s0022123684710408-main.pdf |White noise driven parabolic SPDEs with measurable drift}} (avec Bally, V.; Gyöngy, I.), //J. Funct. Anal.// **120**, no. 2, 484-510, 1994. [53] Symmetric reflected diffusions (avec Williams, R. J.), //Ann. Inst. H. Poincaré Probab. Statist.// **30**, no. 1, 13-62, 1994. [52] {{ :epsp.pdf |Backward doubly stochastic differential equations and systems of quasilinear SPDEs}} (avec Peng, Shi Ge), //Probab. Theory Related Fields// **98**, no. 2, 209-227, 1994. [51] {{ :do-ep_51_.pdf |A stochastic Feynman-Kac formula for anticipating SPDEs, and application to nonlinear smoothing}} (avec Ocone, Daniel), //Stochastics & Stoch. Rep.// **45**, no. 1-2, 79-126, 1993. [50] {{ :gyopard93.pdf |On the regularization effect of space-time white noise on quasi-linear parabolic partial differential equations}} (avec Gyöngy, Istvan), //Probab. Theory Related Fields// **97**, no. 1-2, 211-229, 1993. [49]] {{ :1-s2.0-s0022123683710402-main.pdf |Absolute continuity of the law of the solution of a parabolic SPDE}} (avec Zhang, Tu Sheng), //J. Funct. Anal.// **112**, no. 2, 447-458, 1993. [48] {{ :cdm-ep_48_.pdf |White noise driven SPDEs with reflection}} (avec Donati-Martin, C.), //Probab. Theory Related Fields// **95**, no. 1, 1-24, 1993. [47] Stochastic partial differential equations, a review, //Bull. Sci. Math.// **117**, no. 1, 29-47, 1993. [46] {{ :ig-ep_46_.pdf |On quasi-linear stochastic partial differential equations}} (avec Gyöngy, I.), //Probab. Theory Related Fields// **94**, no. 4, 413-425, 1993. [45] {{ :papeng2.pdf |Backward stochastic differential equations and quasilinear parabolic partial differential equations}} (avec Peng, S.), in //Stochastic partial differential equations and their applications// (Charlotte, NC, 1991), 200-217, Lecture Notes in Control and Inform. Sci., **176**, Springer, Berlin, 1992. [44] {{ :wndrspde.pdf |White noise driven quasilinear SPDEs with reflection}} (avec Nualart, D.), //Probab. Theory Related Fields// **93**, no. 1, 77-89, 1992. [43] Lyapounov exponent of linear stochastic systems with large diffusion term (avec Wihstutz, V.), //Stochastic Process. Appl.// **40**, no. 2, 289-308, 1992. [42] Second order stochastic differential equations with Dirichlet boundary conditions (avec Nualart, David), //Stochastic Process. Appl.// **39**, no. 1, 1-24, 1991. [41] Finite-dimensional approximate filters in the case of high signal-to-noise ratio (avec Roubaud, M.-C.), in //Stochastic analysis//, 433-448, Academic Press, Boston, MA, 1991. [40] {{ :euclid.aop.1176990337.pdf |Boundary value problems for stochastic differential equations}} (avec Nualart, D.), //Ann. Probab.// **19**, no. 3, 1118-1144, 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. [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. [36] Applications of anticipating stochastic calculus to stochastic differential equations, in //Stochastic analysis and related topics// II (Silivri, 1988), 63-105, Lecture Notes in Math. **1444**, Springer, Berlin, 1990. [35] {{ :euclid.aop.1176990638.pdf |Stochastic Volterra equations with anticipating coefficients}} (avec Protter, Philip), //Ann. Probab.// **18**, no. 4, 1635-1655, 1990. [34] Differential calculus and integration by parts on Poisson space (avec Carlen, Eric A.), in //Stochastics, algebra and analysis in classical and quantum dynamics// (Marseille, 1988), 63-73, Math. Appl., **59**, Kluwer Acad. Publ., Dordrecht, 1990. [33] {{ :papeng1.pdf |Adapted solution of a backward stochastic differential equation}} (avec Peng, S. G.), //Systems Control Lett.// **14**, no. 1, 55-61, 1990. [32] A Lie algebraic criterion for nonexistence of finite-dimensionally computable filters (avec Ocone, Daniel), in //Stochastic partial differential equations and applications// II (Trento, 1988), 197-204, Lecture Notes in Math. **1390**, Springer, Berlin, 1989. [31] Piecewise monotone filtering with small obervation noise (avec Fleming, W. H.), in //SIAM J. Control Optim.// **27**, no. 5, 1156-1181, 1989. [30] {{ :do-ep_30_.pdf |Linear stochastic differential equations with boundary conditions}} (avec Ocone, Daniel), //Probab. Theory Related Fields// **82**, no. 4, 489-526, 1989. [29] {{ :hausspard.pdf |Stochastic variational inequalities of parabolic type}} (avec Haussmann, U. G.), //Appl. Math. Optim.// **20**, no. 2, 163-192, 1989. [28] A generalized Itô-Ventzell formula. Application to a class of anticipating stochastic differential equations (avec Ocone, Daniel), //Ann. Inst. H. Poincaré Probab. Statist// **25**, no. 1, 39-71, 1989. [27] {{ :scwai.pdf |Stochastic calculus with anticipating integrands}} (avec Nualart, D.), //Probab. Theory Related Fields// **78**, no. 4, 535-581, 1988. [26] Lyapunov exponent and rotation number of two-dimensional linear stochastic systems with small diffusion (avec Wihstutz, V.), //SIAM J. Appl. Math.// **48**, no. 2, 442-457, 1988. [25] {{ :uh-ep_25_.pdf |A conditionally almost linear filtering problem with non-Gaussian initial condition}} (avec Haussmann, U. G.), //Stochastics// **23**, no. 2, 241-275, 1988. [24] {{ :rb-ep_24_.pdf |Uniqueness for diffusions with piecewise constant coefficients}} (avec Bass, R. F.), //Probab. Theory Related Fields// **76**, no. 4, 557-572, 1987. [23] {{ :ep-pp_23_.pdf |A two-sided stochastic integral and its calculus}} (with Protter, P.), //Probab. Theory Related Fields// **76**, no. 1, 15-49, 1987. [22] Two-sided stochastic calculus for SPDEs, in //Stochastic partial differential equations and applications// (Trento, 1985), 200-207, Lecture Notes in Math. **1236**, Springer, Berlin, 1987. [21] {{ :gross-retourn.pdf |Grossissement d'une filtration et retournement du temps d'une diffusion}}. (French) [Enlargement of a filtration and time reversal of a diffusion], in //Séminaire de Probabilités XX//, 1984/85, 48-55, Lecture Notes in Math. **1204**, Springer, Berlin, 1986. [20] Wide band limit of Lyapounov exponents, in //Stochastic differential systems// (Bad Honnef, 1985), 305-315, Lecture Notes in Control and Inform. Sci. **78**, Springer, Berlin, 1986. [19] {{ :trd.pdf |Time reversal of diffusions}} (avec Haussmann, U. G.), //Ann. Probab.// **14**, no. 4, 1188-1205, 1986. [18] Almost sure and moment stability for linear Itô equations (avec Arnold, L.; Oeljeklaus, E.), in //Lyapunov exponents// (Bremen, 1984), 129-159, Lecture Notes in Math. **1186**, Springer, Berlin, 1986. [17] Time-reversal of diffusion processes and nonlinear smoothing, in //Systems and optimization// (Enschede, 1984), 171-181, Lecture Notes in Control and Inform. Sci. **66**, Springer, Berlin, 1985. [16] Sur les équations aux dérivées partielles stochastiques, de type parabolique.(French) [On stochastic partial differential equations of parabolic type], in //Colloquium in honor of Laurent Schwartz//, Vol. 2 (Palaiseau, 1983). Astérisque **132**, 71-87, 1985. [15] {{ :trd.pdf |Time reversal of diffusion processes}} (avec Haussmann, U. G.), in //Stochastic differential systems// (Marseille-Luminy, 1984), 176-182, Lecture Notes in Control and Inform. Sci. **69**, Springer, Berlin, 1985. [14] Discretization and simulation of stochastic differential equations (avec Talay, D.) //Appl. Math.// **3**, no. 1, 23-47, 1985. [13] Etude de la stabilité de la solution d'une EDS bilinéaire � coefficients périodiques. Application au mouvement des pales d'hélicoptêre. (French) [Study of the stability of the solution of a bilinear SDE with periodic coefficients. Application to the motion of helicopter blades] (avec Pignol, M.), in //Analysis and optimization of systems//, Part 2 (Nice, 1984), 92-103, Lecture Notes in Control and Inform. Sci. **63**, Springer, Berlin, 1984. [12] Asymptotic analysis of PDEs with wide-band noise disturbances, and expansion of the moments (avec Bouc, R.), //Stochastic Anal. Appl.// **2**, no. 4, 369-422, 1984. [11] Analyse asymptotique du problême de filtrage non linéaire avec bruit d'observation à large bande. (French) [Asymptotic analysis of the nonlinear filtration problem with wide-band observation noise], in //Analysis and optimization of systems// (Versailles, 1982), 729-743, Lecture Notes in Control and Inform. Sci. **44**, Springer, Berlin, 1982. [10] Smoothing of a diffusion process conditioned at final time, in //Stochastic differential systems// (Bad Honnef, 1982), 187-196, Lecture Notes in Control and Inform. Sci. **43**, Springer, Berlin, 1982. [9] Equations of nonlinear filtering and application to stochastic control with partial observation, in //Nonlinear filtering and stochastic control// (Cortona, 1981), 208-248, Lecture Notes in Math. **972**, Springer, Berlin, 1982. [8] Optimal control for partially observed diffusions (avec Fleming, Wendell H.), //SIAM J. Control Optim.// **20**, no. 2, 261-285, 1982. [7] {{ :ep_7_.pdf |Equations du filtrage non linéaire, de la prédiction et du lissage}}. (French) [Nonlinear filtering, prediction and smoothing equations] //Stochastics// **6**, no. 3-4, 193-231, 1981/82. [6] Nonlinear filtering, prediction and smoothing, in //Stochastic systems: the mathematics of filtering and identification and applications// (Les Arcs, 1980), pp. 529-557, NATO Adv. Study Inst. Ser. C: Math. Phys. Sci. **78**, Reidel, Dordrecht-Boston, Mass., 1981. [5] Moments of semilinear random evolutions (avec Bouc, R.), //SIAM J. Appl. Math.// **41**, no. 2, 370-399, 1981. [4] Backward and forward stochastic partial differential equations associated with a nonlinear filtering problem, in //Proceedings of the 18th IEEE Conference on Decision and Control// (Fort Lauderdale, Fla., 1979), Vol. 1, 2, pp. 166-171, IEEE, New York, 1979. [3] {{ :poissonfiltering.pdf |Filtering of a diffusion process with Poisson-type observation}}, in //Stochastic control theory and stochastic differential systems// (Proc. Workshop, Deutsch. Forschungsgemeinsch., Univ. Bonn, Bad Honnef, 1979), pp. 510-518, Lecture Notes in Control and Information Sci. **16**, Springer, Berlin-New York, 1979. [2] {{ :ep_2_.pdf |Stochastic partial differential equations and filtering of diffusion processes}}, //Stochastics// **3**, no. 2, 127-167, 1979. [1] {{ :pardoux_these.pdf |Equations aux dérivées partielles stochastiques non linéaires monotones; Etude de solutions fortes de type Itô}}. Thèse, Univ. Paris Sud, 1975.