Thèmes de recherche


[L6] 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, 2007.

[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.

[149] Estimating the state of the Covid-19 epidemic in France using a non-Markovian model, avec R. Forien et G. Pang, soumis.

[148] Epidemic models with varying infectivity, avec R. Forien et G. Pang, soumis.

[147] Multi-patch epidemic models with gneral infectious period, avec G. Pang, soumis.

[146] Functional limit theorems for non-Markovian epidemic models (with G. Pang), soumis.

[145] Approximation of the height process of a continuous state branching process with interaction (avec I. Dramé), Theor. Probability and Math. Statist., à paraître.

[144] Fluctuations around a homogenized semilinear random PDE (avec M. Hairer), soumis.

[143] Household epidemic models and McKean--Vlasov Poisson driven SDEs (avec R. Forien), soumis.

[142] Moderate Deviations and Extinction of an Epidemic, Electron. J. Probab. 25, paper no. 25, 1-27, 2020.

[141] 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] The height process of a continuous state branching process with interaction (avec Z. Li et A. Wakolbinger), soumis.

[139] Extinction time and the total mass of the continuous state branching processes with competition (avec Vi Le), Stochastics, à paraître.

[138] 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.

[137] 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] 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] Approximation of a generalized CSBP with interaction (avec Ibrahima Dramé), Electron. Commun. Probab., 23 , 73, 1-14, 2018.

[134] Large Deviation Principle for Reflected Poisson driven SDEs in Epidemic Models (avec Brice Samegni-Kepgnou), Stochastic Analysis and Applications 37, pp. 836-864, 2019.

[133] Small jumps asymptotic of the moving optimum Poisonian SDE (avec Elma Nassar), Stochastic Processes and Applications 129, pp. 2320-2340, 2019.

[132] 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 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] Nonlinear filtering with degenerate noise (avec David Jaurês Fotsa-Mbogne), Electron. Commun. Probab. 22 , Paper No. 44, 14 pp., 2017

[129] Large Deviation principle for Epidemic Models, (avec Brice Samegni-Kepgnou), Journal Appli. Prob.54, 905-920, 2017.

[128] Continuity of the Feynman-Kac formula for a generalized parabolic equation, (avec A. Rascanu), Stochastics, 89 ,726-752, 2017.

[127] 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] 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] Non-binary branching process and non-Markovian exploration process, (avec I. Dramé et A.B. Sow), ESAIM P & S , 21, 1-33, 2017

[124] 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] Stochastic variational inequalities on non-convex domains (avec R. Buckdahn, L. Maticiuc et A. Rascanu), J. Differential Equations, 259, 7332-7374, 2015.

[122] 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] A Wong-Zakai theorem for stochastic PDEs, avec M. Hairer, J. Math. Soc. Japan 67, 1-54, 2015.

[120] 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] 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] 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] Lambda-lookdown model with selection, avec B. Bah, Stochastic Processes and Applications, 125, 1089-1126, 2015.

[116] 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] Invariant measure selection by noise. An example, avec J. Mattingly, Discrete Contin. Dyn. Syst. 34, no. 10, 4223-4257, 2014.

[114] 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] Random homogenisation of a highly oscillatory singular potential, avec M. Hairer et A. Piatnitski, Stoch. PDE : Anal. Comp. 1, 571-605, 2013.

[112] Muller's ratchet clicks in finite time. (avec Julien Audiffren), Stochastic Processes and Applications 123, 2370 - 2397, 2013. .

[111] 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] 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] 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] 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] 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] 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] Homogenization of a periodic degenerate semilinear elliptic PDE (avec A. B. Sow), Stochastics and Dynamics 11, 475-493, 2011.

[104] 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] 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] Survival of a single mutant in one dimension (avec Andjel, Enrique; Miller, Judith), Electronic J. Probab 15, 2010.

[101] A weak convergence theorem for particle motion in a stochastic field (avec Elskens, Yves), Annals of Applied Probab., 20, 2022-2039, 2010.

[100] 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] Viscosity solutions for systems of parabolic variational inequalities (avec Maticiuc, Luciani; Rascanu, Aurel; Zalinescu, Adrian), Bernoulli 16, 258-273, 2010.

[98] On the height and length of the ancestral recombination graph (avec Salamat, Majid), J. Appl. Prob. 46, 669-689, 2009.

[97] A probabilistic formula for a Poisson equation with Neumann boundary conditions (avec Benchérif-Madani, Abdellatif), Stoch. Anal. Appl. 27, 739-746, 2009.

[96] Homogenization of periodic semilinear parabolic degenerate PDES (avec A. B. Sow, R. Rhodes), Ann. I. H. Poincaré - AN 26,979-998, 2009.

[95] Homogenization of semilinear PDEs with discontinuous averaged coefficients. (avec K. Bahlali, A. Elouaflin), Electronic J. of Probability 14, 477-499, 2009.

[94] Homogenization of periodic linear degenerate PDEs. (avec M. Hairer), J. Funct. Anal. 255, No. 9, 2462-2487, 2008.

[93] 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] 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] Homogenization of periodic semilinear hypoelliptic PDEs (avec Diédhiou, Alassane), Ann. Fac. Sci. Toulouse Math. 16, no. 2, 253-283, 2007.

[90] 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] 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] 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] 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] Probabilistic interpretation of a system of quasilinear parabolic PDEs (avec Sow, A. B.), Stochastics & Stoch. Rep. 76, no. 5, 429-477, 2004.

[81] $L\sp p$ 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] On Poisson equation and diffusion approximation II (avec Veretennikov, A. Yu.), Ann. Probab. 31, no. 3, 1166-1192, 2003.

[79] Homogenization of a nonlinear random parabolic partial differential equation (avec Piatnitski, A. L.), Stochastic Process. Appl. 104, no. 1, 1-27, 2003.

[78] On the Poisson equation and diffusion approximation I (avec Veretennikov, A. Yu.), Ann. Probab. 29, no. 3, 1061-1085, 2001.

[77] 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] Backward stochastic variational inequalities (avec Rascanu, Aurel), Stochastics & Stoch. Rep. 67, no. 3-4, 159-167, 1999.

[74] 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] 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] 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] Malliavin calculus for white noise driven parabolic SPDEs (avec Bally, Vlad), Potential Anal. 9, no. 1, 27-64, 1998.

[68] Backward stochastic differential equations with subdifferential operator and related variational inequalities (avec Rascanu, Aurel), Stochastic Process. Appl. 76, no. 2, 191-215, 1998.

[67] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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]] 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] 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] On quasi-linear stochastic partial differential equations (avec Gyöngy, I.), Probab. Theory Related Fields 94, no. 4, 413-425, 1993.

[45] 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] 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] 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] 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] 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] 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] Linear stochastic differential equations with boundary conditions (avec Ocone, Daniel), Probab. Theory Related Fields 82, no. 4, 489-526, 1989.

[29] 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] 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] A conditionally almost linear filtering problem with non-Gaussian initial condition (avec Haussmann, U. G.), Stochastics 23, no. 2, 241-275, 1988.

[24] Uniqueness for diffusions with piecewise constant coefficients (avec Bass, R. F.), Probab. Theory Related Fields 76, no. 4, 557-572, 1987.

[23] 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] 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] 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] 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] 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] 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] Stochastic partial differential equations and filtering of diffusion processes, Stochastics 3, no. 2, 127-167, 1979.

[1] Equations aux dérivées partielles stochastiques non linéaires monotones; Etude de solutions fortes de type Itô. Thèse, Univ. Paris Sud, 1975.

  • recherche.txt
  • Dernière modification: 2020/07/14 08:43
  • par pardoux