Edit Profile (opens in new tab) Pardoux, Etienne Co-Author Distance Author ID: pardoux.etienne Published as: Pardoux, Etienne; Pardoux, E.; Pardoux, Étienne; Pardoux, É.; Pardoux, étienne; Pardoux, È. more...less Homepage: https://www.i2m.univ-amu.fr/spip.php?page=pageperso&id_user=6&lang=fr External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 197 Publications since 1972, including 8 Books and 9 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 20 Reviews Co-Authors: 102 Co-Authors with 163 Joint Publications 2,399 Co-Co-Authors all top 5 Co-Authors 37 single-authored 10 Pang, Guodong 7 Nualart, David 7 Piatnitski, Andrey L. 6 Ocone, Daniel L. 6 Rascanu, Aurel 6 Sow, Ahmadou Bamba 5 Drame, Ibrahima 5 Forien, Raphaël 5 Hairer, Martin 5 Kepgnou, Brice Samegni 5 Veretennikov, Alexander Yu. 5 Wakolbinger, Anton 4 Benchérif-Madani, Abdellatif 4 Haussmann, Ulrich G. 4 Peng, Shige 3 Ba, Mamadou 3 Bahlali, Khaled 3 Bally, Vlad 3 Bouc, Robert 3 Buckdahn, Rainer 3 El Karoui, Nicole 3 Fleming, Wendell Helms 3 Gyöngy, István 3 Le, Vi 3 Mattingly, Jonathan Christopher 3 Nassar, Elma 3 Protter, Philip Elliott 2 Bah, Boubacar 2 Britton, Tom 2 Diop, Mamadou Abdoul 2 Donati-Martin, Catherine 2 Elouaflin, Abouo 2 Grorud, Axel 2 Hauray, Maxime 2 Iftimie, Bogdan 2 Kratz, Peter 2 Lapeyre, Bernard 2 Maticiuc, Lucian 2 Michel, Dominique 2 Mougabe-Peurkor, Anicet 2 N’Zi, Modeste 2 Pignol, M. 2 Quenez, Marie-Claire 2 Sentis, Remi 2 Stoica, Lucreţiu 2 Talay, Denis 2 Vuong, Yen V. 2 Wihstutz, Volker 2 Yeo, Ténan 1 Andjel, Enrique Daniel 1 Arnold, Ludwig 1 Audiffren, Julien 1 Barles, Guy 1 Bass, Richard F. 1 Bowong, Samuel 1 Briand, Philippe 1 Campillo, Fabien 1 Carlen, Eric Anders 1 Chaleyat-Maurel, Mireille 1 Comets, Francis M. 1 Da Prato, Giuseppe 1 Darling, Richard W. R. 1 Delyon, Bernard 1 Depperschmidt, Andrej 1 Diédhiou, Alassane 1 Elskens, Yves 1 Emakoua, Alphonse 1 Essaky, El Hassan 1 Fellah, Dominique 1 Fotsa Mbogne, David Jaures 1 Gaudron, Guillaume 1 Gégout-Petit, Anne 1 Hassani, Mohammed 1 Hu, Ying 1 Kapoudjian, Christophe 1 Kopp, Michael 1 Kurtz, Thomas Gordon 1 Le Gland, François 1 Leocard, Stephanie 1 Li, Zenghu 1 Mariani, Mauro 1 Metivier, Michel 1 Miller, Judith R. 1 Müller, Carl E. 1 Oeljeklaus, Eberhard 1 Ouknine, Youssef 1 Pfaffelhuber, Peter 1 Pradeilles, Frédéric 1 Rao, Zusheng 1 Rhodes, Rémi 1 Roubaud, Marie-Christine 1 Salamat, Majid 1 Savona, Catherine 1 Tang, Shanjian 1 Velleret, Aurélien 1 Williams, Ruth J. 1 Yor, Marc 1 Zalinescu, Adrian 1 Zeitouni, Ofer 1 Zhang, Shuguang ...and 2 more Co-Authors all top 5 Serials 12 Probability Theory and Related Fields 9 The Annals of Probability 9 Stochastic Processes and their Applications 8 Stochastics and Stochastics Reports 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Functional Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Applied Mathematics and Optimization 4 SIAM Journal on Control and Optimization 4 Stochastic Analysis and Applications 4 Electronic Journal of Probability 3 Stochastics 3 Journal of Applied Probability 3 The Annals of Applied Probability 3 SIAM Journal on Applied Mathematics 3 Electronic Communications in Probability 3 Stochastics 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Journal of Mathematical Biology 2 Potential Analysis 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Advances in Applied Probability 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Bulletin of Mathematical Biology 1 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Systems & Control Letters 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Theoretical Probability 1 Asymptotic Analysis 1 SIAM Review 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Theory of Probability and Mathematical Statistics 1 Bulletin des Sciences Mathématiques 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Stochastics and Dynamics 1 Lecture Notes in Control and Information Sciences 1 Lecture Notes in Mathematics 1 Mathématiques & Applications (Berlin) 1 Panoramas et Synthèses 1 Oxford Texts in Applied and Engineering Mathematics 1 Stochastic Modelling and Applied Probability 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Mathematical Biosciences Institute Lecture Series. Stochastics in Biological Systems 1 SpringerBriefs in Mathematics 1 Wiley Series in Probability and Statistics 1 Probability, Uncertainty and Quantitative Risk 1 Graduate Journal of Mathematics all top 5 Fields 177 Probability theory and stochastic processes (60-XX) 55 Partial differential equations (35-XX) 40 Biology and other natural sciences (92-XX) 35 Systems theory; control (93-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Statistics (62-XX) 6 Ordinary differential equations (34-XX) 6 Numerical analysis (65-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General and overarching topics; collections (00-XX) 5 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Integral equations (45-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 171 Publications have been cited 6,418 times in 3,780 Documents Cited by ▼ Year ▼ Adapted solution of a backward stochastic differential equation. Zbl 0692.93064 Pardoux, E.; Peng, S. G. 1,222 1990 Backward stochastic differential equations and quasilinear parabolic partial differential equations. Zbl 0766.60079 Pardoux, E.; Peng, S. 434 1992 Reflected solutions of backward SDE’s, and related obstacle problems for PDE’s. Zbl 0899.60047 El Karoui, N.; Kapoudjian, C.; Pardoux, E.; Peng, S.; Quenez, M. C. 341 1997 Backward stochastic differential equations and integral-partial differential equations. Zbl 0878.60036 Barles, Guy; Buckdahn, Rainer; Pardoux, Etienne 250 1997 Stochastic partial differential equations and filtering of diffusion processes. Zbl 0424.60067 Pardoux, E. 231 1979 \(L^p\) solutions of backward stochastic differential equations. Zbl 1075.65503 Briand, Ph.; Delyon, B.; Hu, Y.; Pardoux, E.; Stoica, L. 205 2003 Stochastic calculus with anticipating integrands. Zbl 0629.60061 Nualart, D.; Pardoux, E. 204 1988 Backward doubly stochastic differential equations and systems of quasilinear SPDEs. Zbl 0792.60050 Pardoux, Etienne; Peng, Shige 182 1994 Forward-backward stochastic differential equations and quasilinear parabolic PDEs. Zbl 0943.60057 Pardoux, Etienne; Tang, Shanjian 155 1999 On the Poisson equation and diffusion approximation. I. Zbl 1029.60053 Pardoux, E.; Veretennikov, A. Yu. 151 2001 BSDEs, weak convergence and homogenization of semilinear PDEs. Zbl 0959.60049 Pardoux, Étienne 142 1999 Stochastic differential equations, backward SDEs, partial differential equations. Zbl 1321.60005 Pardoux, Etienne; Răşcanu, Aurel 134 2014 Équations aux dérivées partielles stochastiques de type monotone. Zbl 0363.60041 Pardoux, É. 116 1975 Backwards SDE with random terminal time and applications to semilinear elliptic PDE. Zbl 0895.60067 Darling, R. W. R.; Pardoux, Etienne 97 1997 Backward stochastic differential equations and viscosity solutions of systems of semilinear parabolic and elliptic PDEs of second order. Zbl 0893.60036 Pardoux, Étienne 96 1998 A Wong-Zakai theorem for stochastic PDEs. Zbl 1341.60062 Hairer, Martin; Pardoux, Étienne 91 2015 On Poisson equation and diffusion approximation. II. Zbl 1054.60064 Pardoux, È.; Veretennikov, A. Yu. 90 2003 White noise driven SPDEs with reflection. Zbl 0794.60059 Donati-Martin, C.; Pardoux, E. 81 1993 White noise driven quasilinear SPDEs with reflection. Zbl 0767.60055 Nualart, D.; Pardoux, E. 79 1992 Generalized BSDEs and nonlinear Neumann boundary value problems. Zbl 0909.60046 Pardoux, Etienne; Zhang, Shuguang 75 1998 Time reversal of diffusions. Zbl 0607.60065 Haussmann, U. G.; Pardoux, E. 67 1986 Reflected backward SDEs and American options. Zbl 0898.90033 El Karoui, N.; Pardoux, E.; Quenez, M. C. 65 1997 Discretization and simulation of stochastic differential equations. Zbl 0554.60062 Pardoux, E.; Talay, D. 62 1985 Uniqueness for diffusions with piecewise constant coefficients. Zbl 0617.60075 Bass, R. F.; Pardoux, E. 54 1987 A generalized Itô-Ventzell formula. Application to a class of anticipating stochastic differential equations. Zbl 0674.60057 Ocone, Daniel L.; Pardoux, Etienne 50 1989 Optimal control for partially observed diffusions. Zbl 0484.93077 Fleming, Wendell H.; Pardoux, Etienne 50 1982 Stochastic Volterra equations with anticipating coefficients. Zbl 0717.60073 Pardoux, Etienne; Protter, Philip 49 1990 Stratonovich stochastic differential equations driven by general semimartingales. Zbl 0823.60046 Kurtz, Thomas G.; Pardoux, Étienne; Protter, Philip 45 1995 Backward stochastic differential equations reflected in a convex domain. (Equations différentielles stochastiques rétrogrades réfléchies dans un convexe.) Zbl 0891.60050 Gegout-Petit, A.; Pardoux, E. 45 1996 Backward stochastic differential equations with subdifferential operator and related variational inequalities. Zbl 0932.60070 Pardoux, Etienne; Răşcanu, Aurel 43 1998 Malliavin calculus for the stochastic 2D Navier-Stokes equation. Zbl 1113.60058 Mattingly, Jonathan C.; Pardoux, Étienne 43 2006 Malliavin calculus for white noise driven parabolic SPDEs. Zbl 0928.60040 Bally, Vlad; Pardoux, Etienne 40 1998 Equations du filtrage non linéaire de la prediction et du lissage. Zbl 0491.93062 Pardoux, E. 40 1982 Asymptotic stability of the optimal filter with respect to its initial condition. Zbl 1035.93508 Ocone, Daniel; Pardoux, Etienne 39 1996 On the Poisson equation and diffusion approximation. III. Zbl 1071.60022 Pardoux, E.; Veretennikov, A. Yu. 39 2005 Homogenization of linear and semilinear second order parabolic PDEs with periodic coefficients: A probabilistic approach. Zbl 0935.35010 Pardoux, Étienne 38 1999 White noise driven parabolic SPDEs with measurable drift. Zbl 0801.60049 Bally, V.; Gyöngy, I.; Pardoux, E. 38 1994 Probabilistic models of population evolution. Scaling limits, genealogies and interactions. Zbl 1351.92003 Pardoux, Étienne 37 2016 Monte-Carlo methods for the transport and diffusion equations. (Méthodes de Monte-Carlo pour les équations de transport et de diffusion.) Zbl 0886.65124 Lapeyre, Bernard; Pardoux, Étienne; Sentis, Rémi 35 1998 Sur des équations aux dérivées partielles stochastiques monotones. Zbl 0236.60039 Pardoux, Étienne 35 1972 Probabilistic interpretation of a system of semilinear parabolic partial differential equations. Zbl 0891.60054 Pardoux, Etienne; Pradeilles, Frédéric; Rao, Zusheng 33 1997 On quasi-linear stochastic partial differential equations. Zbl 0791.60047 Gyöngy, I.; Pardoux, E. 32 1993 Lyapunov exponent and rotation number of two-dimensional linear stochastic systems with small diffusion. Zbl 0641.60065 Pardoux, E.; Wihstutz, Volker 32 1988 On the regularization effect of space-time white noise on quasi-linear parabolic partial differential equations. Zbl 0793.60064 Gyöngy, István; Pardoux, E. 31 1993 Almost sure and moment stability for linear Ito equations. Zbl 0588.60049 Arnold, L.; Oeljeklaus, Eberhard; Pardoux, E. 29 1986 A two-sided stochastic integral and its calculus. Zbl 0608.60058 Pardoux, E.; Protter, P. 29 1987 Backward stochastic variational inequalities. Zbl 0948.60049 Pardoux, Etienne; Răşcanu, Aurel 27 1999 Boundary value problems for stochastic differential equations. Zbl 0736.60052 Nualart, D.; Pardoux, E. 25 1991 Linear stochastic differential equations with boundary conditions. Zbl 0661.60069 Ocone, Daniel L.; Pardoux, Etienne 25 1989 Stochastic partial differential equations. A review. Zbl 0777.60054 Pardoux, E. 24 1993 Stochastic variational inequalities of parabolic type. Zbl 0701.60059 Haussmann, U. G.; Pardoux, E. 24 1989 Anticipating Hilbert integrals with respect to a cylindrical Wiener process and associated stochastic calculus. (Intégrales Hilbertiennes anticipantes par rapport à un processus de Wiener cylindrique et calcul stochastique associé.) Zbl 0754.60051 Grorud, A.; Pardoux, E. 23 1992 Generalized discontinuous backward stochastic differential equations. Zbl 0886.60053 Pardoux, E. 23 1997 Stochastic epidemic models with inference. Lectures given at the ICPAM/CIMPA school on “Stochastic models of epidemics”, Ziguinchor, Senegal, December 5–16, 2015. Zbl 1431.92007 22 2019 Existence, uniqueness and stability of backward stochastic differential equations with locally monotone coefficient. Zbl 1017.60068 Bahlali, Khaled; Essaky, El Hassan; Hassani, Mohammed; Pardoux, Etienne 22 2002 Asymptotic analysis of p.d.e.s with wide-band noise disturbances, and expansion of the moments. Zbl 0574.60066 Bouc, R.; Pardoux, E. 22 1984 Monotonicity methods for white noise driven quasi-linear SPDEs. Zbl 0722.60061 Buckdahn, R.; Pardoux, E. 22 1990 Markov field properties of solutions of white noise driven quasi-linear parabolic PDEs. Zbl 0828.60043 Nualart, D.; Pardoux, E. 18 1994 Backward stochastic differential equations associated to a symmetric Markov process. Zbl 1071.60067 Bally, V.; Pardoux, E.; Stoica, L. 17 2005 Introduction to Monte-Carlo methods for transport and diffusion equations. Translated from the French by Alain Craig and Fionn Craig. Zbl 1136.65133 Lapeyre, Bernard; Pardoux, Étienne; Sentis, Remi 17 2003 Homogenization of a nonlinear random parabolic partial differential equation. Zbl 1075.35003 Pardoux, E.; Piatnitski, A. L. 17 2003 “Trees under attack”: a Ray-Knight representation of Feller’s branching diffusion with logistic growth. Zbl 1266.60146 Le, Vi; Pardoux, E.; Wakolbinger, A. 17 2013 Homogenization of periodic linear degenerate PDEs. Zbl 1167.60015 Hairer, Martin; Pardoux, Etienne 17 2008 Markov processes and applications. Algorithms, networks, genome and finance. Translation of the 2007 French original. Zbl 1187.60001 Pardoux, Etienne 17 2008 Averaging of backward stochastic differential equations, with application to semilinear PDE’s. Zbl 0891.60053 Pardoux, E.; Veretennikov, A. Yu. 16 1997 Symmetric reflected diffusions. Zbl 0794.60078 Pardoux, E.; Williams, R. J. 16 1994 Differential calculus and integration by parts on Poisson space. Zbl 0685.60056 Carlen, Eric A.; Pardoux, Etienne 16 1990 Stochastic epidemics in a homogeneous community. Zbl 1447.92402 Britton, Tom; Pardoux, Etienne 15 2019 Branching processes with interaction and a generalized Ray-Knight theorem. Zbl 1329.60298 Ba, Mamadou; Pardoux, Etienne 15 2015 Singular homogenization with stationary in time and periodic in space coefficients. Zbl 1113.35015 Diop, M. A.; Iftimie, B.; Pardoux, E.; Piatnitski, A. L. 15 2006 Absolute continuity of the law of the solution of a parabolic SPDE. Zbl 0777.60046 Pardoux, Etienne; Zhang, Tusheng 14 1993 Second order stochastic differential equations with Dirichlet boundary conditions. Zbl 0745.60061 Nualart, David; Pardoux, Etienne 13 1991 A conditionally almost linear filtering problem with non-Gaussian initial condition. Zbl 0641.60050 Haussmann, U. G.; Pardoux, E. 13 1988 Homogenization of semilinear PDEs with discontinuous averaged coefficients. Zbl 1190.60055 Bahlali, Khaled; Elouaflin, A.; Pardoux, Etienne 13 2009 Epidemic models with varying infectivity. Zbl 1471.92307 Forien, Raphaël; Pang, Guodong; Pardoux, Étienne 13 2021 Homogenization of a singular random one-dimensional PDE with time-varying coefficients. Zbl 1255.60108 Pardoux, Étienne; Piatnitski, Andrey 13 2012 Large deviation principle for epidemic models. Zbl 1402.60034 Pardoux, Etienne; Samegni-Kepgnou, Brice 12 2017 Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60074 Hairer, Martin; Mattingly, Jonathan C.; Pardoux, Étienne 12 2004 Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243 Hairer, Martin; Pardoux, Étienne 11 2021 Filtrage non linéaire et équations aux dérivées partielles stochastiques associées. (Nonlinear filtering and associated stochastic partial differential equations). Zbl 0732.60050 Pardoux, Etienne 11 1991 Viscosity solutions for systems of parabolic variational inequalities. Zbl 1455.35311 Maticiuc, Lucian; Pardoux, Etienne; Răşcanu, Aurel; Zălinescu, Adrian 10 2010 Grossissement d’une filtration et retournement du temps d’une diffusion. (Enlargement of a filtration and time reversal of a diffusion). Zbl 0607.60042 Pardoux, E. 10 1986 Stochastic partial differential equations with reflection and Malliavin calculus. (EPDS réfléchies et calcul de Malliavin.) Zbl 0884.60049 Donati-Martin, C.; Pardoux, E. 9 1997 Height and the total mass of the forest of genealogical trees of a large population with general competition. Zbl 1333.60188 Le, Vi; Pardoux, Etienne 9 2015 Large deviations for infectious diseases models. Zbl 1454.60040 Kratz, Peter; Pardoux, Etienne 8 2018 Invariant measure selection by noise. An example. Zbl 1302.37048 Mattingly, Jonathan C.; Pardoux, Etienne 8 2014 Homogenization of a singular random one-dimensional PDE. Zbl 1172.74043 Iftimie, Bogdan; Pardoux, Étienne; Piatnitski, Andrey 8 2008 BSDEs, convergence in law and homogenization of semilinear parabolic SDEs. (EDSR, convergence en loi et homogénéisation d’EDP paraboliques semi-linéaires.) Zbl 0986.60063 Gaudron, Guillaume; Pardoux, Etienne 8 2001 From Brownian motion with a local time drift to Feller’s branching diffusion with logistic growth. Zbl 1245.60079 Pardoux, Etienne; Wakolbinger, Anton 8 2011 Averaging for BSDEs with null recurrent fast component. Application to homogenization in a non periodic media. Zbl 1358.60076 Bahlali, Khaled; Elouaflin, Abouo; Pardoux, Etienne 7 2017 The critical exponent for a stochastic PDE to hit zero. Zbl 0922.60057 Mueller, Carl; Pardoux, Etienne 7 1999 Random homogenisation of a highly oscillatory singular potential. Zbl 1323.35230 Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey 7 2013 A probabilistic formula for a Poisson equation with Neumann boundary condition. Zbl 1171.35493 Benchérif-Madani, A.; Pardoux, É. 7 2009 Homogenization of a singular random one-dimensional PDE. Zbl 1201.35036 Pardoux, Etienne; Piatnitski, Andrey 7 2006 Equations of non-linear filtering; and application to stochastic control with partial observation. Zbl 0534.93058 Pardoux, E. 7 1982 Functional limit theorems for non-Markovian epidemic models. Zbl 1498.92241 Pang, Guodong; Pardoux, Étienne 7 2022 Homogenization of a diffusion with locally periodic coefficients. Zbl 1067.35009 Benchérif-Madani, Abdellatif; Pardoux, Étienne 6 2005 A path-valued Markov process indexed by the ancestral mass. Zbl 1319.60169 Pardoux, Etienne; Wakolbinger, Anton 6 2015 An Itô formula in Banach spaces and application. (Une formule d’Itô dans des espaces de Banach, et application.) Zbl 0792.60043 Fellah, D.; Pardoux, E. 6 1992 Applications of anticipating stochastic calculus to stochastic differential equations. Zbl 0715.60065 Pardoux, Etienne 6 1990 Multi-patch epidemic models with general exposed and infectious periods. Zbl 1518.92157 Pang, Guodong; Pardoux, Étienne 2 2023 Functional central limit theorems for epidemic models with varying infectivity. Zbl 1524.92107 Pang, Guodong; Pardoux, Étienne 1 2023 Functional law of large numbers and PDEs for epidemic models with infection-age dependent infectivity. Zbl 1511.92084 Pang, Guodong; Pardoux, Étienne 1 2023 Functional limit theorems for non-Markovian epidemic models. Zbl 1498.92241 Pang, Guodong; Pardoux, Étienne 7 2022 Household epidemic models and McKean-Vlasov Poisson driven stochastic differential equations. Zbl 1498.92211 Forien, Raphaël; Pardoux, Étienne 3 2022 Conditional propagation of chaos in a spatial stochastic epidemic model with common noise. Zbl 1499.92147 Vuong, Yen V.; Hauray, Maxime; Pardoux, Étienne 1 2022 Epidemic models with varying infectivity. Zbl 1471.92307 Forien, Raphaël; Pang, Guodong; Pardoux, Étienne 13 2021 Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243 Hairer, Martin; Pardoux, Étienne 11 2021 A SIR model on a refining spatial grid. I: Law of large numbers. Zbl 1461.92117 N’zi, M.; Pardoux, E.; Yeo, T. 3 2021 Stochastic partial differential equations. An introduction. Zbl 1511.60001 Pardoux, Étienne 1 2021 Moderate deviations and extinction of an epidemic. Zbl 1445.60022 Pardoux, Etienne 3 2020 Extinction time and the total mass of the continuous-state branching processes with competition. Zbl 1490.60231 Le, Vi; Pardoux, Etienne 1 2020 Stochastic epidemic models with inference. Lectures given at the ICPAM/CIMPA school on “Stochastic models of epidemics”, Ziguinchor, Senegal, December 5–16, 2015. Zbl 1431.92007 22 2019 Stochastic epidemics in a homogeneous community. Zbl 1447.92402 Britton, Tom; Pardoux, Etienne 15 2019 Large deviation principle for reflected Poisson driven stochastic differential equations in epidemic models. Zbl 1481.60067 Pardoux, Etienne; Samegni-Kepgnou, Brice 2 2019 Small jumps asymptotic of the moving optimum Poissonian SDE. Zbl 1426.60078 Nassar, Elma; Pardoux, Etienne 1 2019 Large deviations for infectious diseases models. Zbl 1454.60040 Kratz, Peter; Pardoux, Etienne 8 2018 Approximation of a generalized continuous-state branching process with interaction. Zbl 1401.60159 Dramé, Ibrahima; Pardoux, Étienne 3 2018 Phenotypic lag and population extinction in the moving-optimum model: insights from a small-jumps limit. Zbl 1400.92371 Kopp, Michael; Nassar, Elma; Pardoux, Etienne 2 2018 Large deviation principle for epidemic models. Zbl 1402.60034 Pardoux, Etienne; Samegni-Kepgnou, Brice 12 2017 Averaging for BSDEs with null recurrent fast component. Application to homogenization in a non periodic media. Zbl 1358.60076 Bahlali, Khaled; Elouaflin, Abouo; Pardoux, Etienne 7 2017 Continuity of the Feynman-Kac formula for a generalized parabolic equation. Zbl 1394.60065 Pardoux, Etienne; Răşcanu, Aurel 5 2017 On the large-time behaviour of the solution of a stochastic differential equation driven by a Poisson point process. Zbl 1425.60057 Nassar, Elma; Pardoux, Etienne 2 2017 Non-binary branching process and non-Markovian exploration process. Zbl 1371.60148 Drame, Ibrahima; Pardoux, Etienne; Sow, A. B. 2 2017 Probabilistic models of population evolution. Scaling limits, genealogies and interactions. Zbl 1351.92003 Pardoux, Étienne 37 2016 A Wong-Zakai theorem for stochastic PDEs. Zbl 1341.60062 Hairer, Martin; Pardoux, Étienne 91 2015 Branching processes with interaction and a generalized Ray-Knight theorem. Zbl 1329.60298 Ba, Mamadou; Pardoux, Etienne 15 2015 Height and the total mass of the forest of genealogical trees of a large population with general competition. Zbl 1333.60188 Le, Vi; Pardoux, Etienne 9 2015 A path-valued Markov process indexed by the ancestral mass. Zbl 1319.60169 Pardoux, Etienne; Wakolbinger, Anton 6 2015 Stochastic variational inequalities on non-convex domains. Zbl 1341.60050 Buckdahn, Rainer; Maticiuc, Lucian; Pardoux, Etienne; Răşcanu, Aurel 5 2015 The \(\Lambda\)-lookdown model with selection. Zbl 1346.60134 Bah, B.; Pardoux, E. 5 2015 Numerical methods in the context of compartmental models in epidemiology. Zbl 1372.92106 Kratz, Peter; Pardoux, Etienne; Kepgnou, Brice Samegni 4 2015 Stochastic differential equations, backward SDEs, partial differential equations. Zbl 1321.60005 Pardoux, Etienne; Răşcanu, Aurel 134 2014 Invariant measure selection by noise. An example. Zbl 1302.37048 Mattingly, Jonathan C.; Pardoux, Etienne 8 2014 “Trees under attack”: a Ray-Knight representation of Feller’s branching diffusion with logistic growth. Zbl 1266.60146 Le, Vi; Pardoux, E.; Wakolbinger, A. 17 2013 Random homogenisation of a highly oscillatory singular potential. Zbl 1323.35230 Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey 7 2013 The effect of competition on the height and length of the forest of genealogical trees of a large population. Zbl 1280.60048 Ba, Mamadou; Pardoux, Etienne 6 2013 Muller’s ratchet clicks in finite time. Zbl 1341.60090 Audiffren, Julien; Pardoux, Etienne 1 2013 Homogenization of a singular random one-dimensional PDE with time-varying coefficients. Zbl 1255.60108 Pardoux, Étienne; Piatnitski, Andrey 13 2012 Binary trees, exploration processes, and an extended Ray-Knight theorem. Zbl 1252.60086 Ba, Mamadou; Pardoux, Etienne; Sow, Ahmadou Bamba 4 2012 A look-down model with selection. Zbl 1317.60089 Bah, Boubacar; Sow, Ahmadou Bamba; Pardoux, Etienne 2 2012 Stochastic filtering at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 876 (1981) and 1464 (1991). Zbl 1397.60010 El Karoui, Nicole; Pardoux, Etienne; Yor, Marc 2 2012 From Brownian motion with a local time drift to Feller’s branching diffusion with logistic growth. Zbl 1245.60079 Pardoux, Etienne; Wakolbinger, Anton 8 2011 From exploration paths to mass excursions – variations on a theme of Ray and Knight. Zbl 1246.60112 Pardoux, Etienne; Wakolbinger, Anton 6 2011 Homogenization of a periodic degenerate semilinear elliptic PDE. Zbl 1237.35063 Pardoux, Étienne; Sow, Ahmadou Bamba 2 2011 Viscosity solutions for systems of parabolic variational inequalities. Zbl 1455.35311 Maticiuc, Lucian; Pardoux, Etienne; Răşcanu, Aurel; Zălinescu, Adrian 10 2010 Survival of a single mutant in one dimension. Zbl 1393.60115 Andjel, Enrique D.; Miller, Judith R.; Pardoux, Etienne 4 2010 Diffusion limit for many particles in a periodic stochastic acceleration field. Zbl 1215.82048 Elskens, Yves; Pardoux, Etienne 2 2010 Evolution of the ancestral recombination graph along the genome in case of selective sweep. Zbl 1205.92053 Leocard, Stephanie; Pardoux, Etienne 1 2010 Homogenization of semilinear PDEs with discontinuous averaged coefficients. Zbl 1190.60055 Bahlali, Khaled; Elouaflin, A.; Pardoux, Etienne 13 2009 A probabilistic formula for a Poisson equation with Neumann boundary condition. Zbl 1171.35493 Benchérif-Madani, A.; Pardoux, É. 7 2009 Homogenization of periodic semilinear parabolic degenerate PDEs. Zbl 1178.35052 Sow, A. B.; Rhodes, R.; Pardoux, É. 5 2009 On the height and length of the ancestral recombination graph. Zbl 1176.60067 Pardoux, Etienne; Salamat, Majid 1 2009 Homogenization of periodic linear degenerate PDEs. Zbl 1167.60015 Hairer, Martin; Pardoux, Etienne 17 2008 Markov processes and applications. Algorithms, networks, genome and finance. Translation of the 2007 French original. Zbl 1187.60001 Pardoux, Etienne 17 2008 Homogenization of a singular random one-dimensional PDE. Zbl 1172.74043 Iftimie, Bogdan; Pardoux, Étienne; Piatnitski, Andrey 8 2008 Homogenization of a semilinear parabolic PDE with locally periodic coefficients: a probabilistic approach. Zbl 1184.35028 Benchérif-Madani, Abdellatif; Pardoux, étienne 6 2007 Homogenization of periodic semilinear hypoelliptic PDEs. Zbl 1131.35304 Diédhiou, Alassane; Pardoux, Étienne 1 2007 Markov processes and applications: Algorithms, networks, genomics and finance. (Processus de Markov et applications: algorithmes, réseaux, génome et finance.) Zbl 1158.60300 Pardoux, Etienne 1 2007 Malliavin calculus for the stochastic 2D Navier-Stokes equation. Zbl 1113.60058 Mattingly, Jonathan C.; Pardoux, Étienne 43 2006 Singular homogenization with stationary in time and periodic in space coefficients. Zbl 1113.35015 Diop, M. A.; Iftimie, B.; Pardoux, E.; Piatnitski, A. L. 15 2006 Homogenization of a singular random one-dimensional PDE. Zbl 1201.35036 Pardoux, Etienne; Piatnitski, Andrey 7 2006 On the Poisson equation and diffusion approximation. III. Zbl 1071.60022 Pardoux, E.; Veretennikov, A. Yu. 39 2005 Backward stochastic differential equations associated to a symmetric Markov process. Zbl 1071.60067 Bally, V.; Pardoux, E.; Stoica, L. 17 2005 Homogenization of a diffusion with locally periodic coefficients. Zbl 1067.35009 Benchérif-Madani, Abdellatif; Pardoux, Étienne 6 2005 Quenched large deviations for one dimensional nonlinear filtering. Zbl 1101.60017 Pardoux, Étienne; Zeitouni, Ofer 3 2005 Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60074 Hairer, Martin; Mattingly, Jonathan C.; Pardoux, Étienne 12 2004 Locally periodic homogenization. Zbl 1064.35017 Benchérif-Madani, A.; Pardoux, É. 5 2004 Averaging of a parabolic partial differential equation with random evolution. Zbl 1063.35026 Diop, Mamadou Abdoul; Pardoux, Etienne 3 2004 Probabilistic interpretation of a system of quasilinear parabolic PDEs. Zbl 1062.60063 Sow, A. B.; Pardoux, E. 2 2004 \(L^p\) solutions of backward stochastic differential equations. Zbl 1075.65503 Briand, Ph.; Delyon, B.; Hu, Y.; Pardoux, E.; Stoica, L. 205 2003 On Poisson equation and diffusion approximation. II. Zbl 1054.60064 Pardoux, È.; Veretennikov, A. Yu. 90 2003 Introduction to Monte-Carlo methods for transport and diffusion equations. Translated from the French by Alain Craig and Fionn Craig. Zbl 1136.65133 Lapeyre, Bernard; Pardoux, Étienne; Sentis, Remi 17 2003 Homogenization of a nonlinear random parabolic partial differential equation. Zbl 1075.35003 Pardoux, E.; Piatnitski, A. L. 17 2003 Existence, uniqueness and stability of backward stochastic differential equations with locally monotone coefficient. Zbl 1017.60068 Bahlali, Khaled; Essaky, El Hassan; Hassani, Mohammed; Pardoux, Etienne 22 2002 Homogenization of PDEs with nonlinear boundary condition. Zbl 1038.60049 Ouknine, Y.; Pardoux, É. 2 2002 On the Poisson equation and diffusion approximation. I. Zbl 1029.60053 Pardoux, E.; Veretennikov, A. Yu. 151 2001 BSDEs, convergence in law and homogenization of semilinear parabolic SDEs. (EDSR, convergence en loi et homogénéisation d’EDP paraboliques semi-linéaires.) Zbl 0986.60063 Gaudron, Guillaume; Pardoux, Etienne 8 2001 On the smoothness of an invariant measure of a Markov chain with respect to a parameter. Zbl 1053.60079 Veretennikov, A. Yu.; Pardoux, E. 3 2000 Forward-backward stochastic differential equations and quasilinear parabolic PDEs. Zbl 0943.60057 Pardoux, Etienne; Tang, Shanjian 155 1999 BSDEs, weak convergence and homogenization of semilinear PDEs. Zbl 0959.60049 Pardoux, Étienne 142 1999 Homogenization of linear and semilinear second order parabolic PDEs with periodic coefficients: A probabilistic approach. Zbl 0935.35010 Pardoux, Étienne 38 1999 Backward stochastic variational inequalities. Zbl 0948.60049 Pardoux, Etienne; Răşcanu, Aurel 27 1999 The critical exponent for a stochastic PDE to hit zero. Zbl 0922.60057 Mueller, Carl; Pardoux, Etienne 7 1999 Backward stochastic differential equations and viscosity solutions of systems of semilinear parabolic and elliptic PDEs of second order. Zbl 0893.60036 Pardoux, Étienne 96 1998 Generalized BSDEs and nonlinear Neumann boundary value problems. Zbl 0909.60046 Pardoux, Etienne; Zhang, Shuguang 75 1998 Backward stochastic differential equations with subdifferential operator and related variational inequalities. Zbl 0932.60070 Pardoux, Etienne; Răşcanu, Aurel 43 1998 Malliavin calculus for white noise driven parabolic SPDEs. Zbl 0928.60040 Bally, Vlad; Pardoux, Etienne 40 1998 Monte-Carlo methods for the transport and diffusion equations. (Méthodes de Monte-Carlo pour les équations de transport et de diffusion.) Zbl 0886.65124 Lapeyre, Bernard; Pardoux, Étienne; Sentis, Rémi 35 1998 Reflected solutions of backward SDE’s, and related obstacle problems for PDE’s. Zbl 0899.60047 El Karoui, N.; Kapoudjian, C.; Pardoux, E.; Peng, S.; Quenez, M. C. 341 1997 Backward stochastic differential equations and integral-partial differential equations. Zbl 0878.60036 Barles, Guy; Buckdahn, Rainer; Pardoux, Etienne 250 1997 Backwards SDE with random terminal time and applications to semilinear elliptic PDE. Zbl 0895.60067 Darling, R. W. R.; Pardoux, Etienne 97 1997 Reflected backward SDEs and American options. Zbl 0898.90033 El Karoui, N.; Pardoux, E.; Quenez, M. C. 65 1997 Probabilistic interpretation of a system of semilinear parabolic partial differential equations. Zbl 0891.60054 Pardoux, Etienne; Pradeilles, Frédéric; Rao, Zusheng 33 1997 Generalized discontinuous backward stochastic differential equations. Zbl 0886.60053 Pardoux, E. 23 1997 Averaging of backward stochastic differential equations, with application to semilinear PDE’s. Zbl 0891.60053 Pardoux, E.; Veretennikov, A. Yu. 16 1997 Stochastic partial differential equations with reflection and Malliavin calculus. (EPDS réfléchies et calcul de Malliavin.) Zbl 0884.60049 Donati-Martin, C.; Pardoux, E. 9 1997 Backward stochastic differential equations reflected in a convex domain. (Equations différentielles stochastiques rétrogrades réfléchies dans un convexe.) Zbl 0891.60050 Gegout-Petit, A.; Pardoux, E. 45 1996 Asymptotic stability of the optimal filter with respect to its initial condition. Zbl 1035.93508 Ocone, Daniel; Pardoux, Etienne 39 1996 Stratonovich stochastic differential equations driven by general semimartingales. Zbl 0823.60046 Kurtz, Thomas G.; Pardoux, Étienne; Protter, Philip 45 1995 ...and 71 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,138 Authors 72 Pardoux, Etienne 61 Wu, Zhen 50 Fan, Shengjun 49 Hu, Ying 48 Nualart, David 44 Ouknine, Youssef 37 Tang, Shanjian 36 Peng, Shige 34 Hamadene, Saïd 34 Zhang, Tusheng S. 33 Jiang, Long 32 Yong, Jiongmin 30 Li, Juan 30 Zhao, Weidong 28 Buckdahn, Rainer 26 Bahlali, Khaled 26 Ren, Yong 26 Russo, Francesco 26 Shi, Yufeng 25 Ji, Shaolin 25 Klimsiak, Tomasz 25 Ma, Jin 25 Zhang, Jianfeng 24 El Otmani, Mohamed 24 Hairer, Martin 24 Röckner, Michael 23 Matoussi, Anis 22 Brzeźniak, Zdzisław 20 Touzi, Nizar 20 Yu, Zhiyong 19 Hu, Mingshang 19 Øksendal, Bernt Karsten 19 Popier, Alexandre 19 Possamaï, Dylan 18 Imkeller, Peter 18 Scarpa, Luca 18 Wang, Falei 17 Chen, Zengjing 17 Da Prato, Giuseppe 17 Karatzas, Ioannis 17 Rascanu, Aurel 17 Spiliopoulos, Konstantinos V. 16 Duan, Jinqiao 16 Elliott, Robert James 15 Djehiche, Boualem 15 Huang, Jianhui 15 Maticiuc, Lucian 15 Nie, Tianyang 15 Pham, Huyên 14 Barbu, Viorel 14 Chassagneux, Jean-François 14 Essaky, El Hassan 14 Friz, Peter 14 Fuhrman, Marco 14 Gyöngy, István 14 Jentzen, Arnulf 14 Shi, Jingtao 14 Veretennikov, Alexander Yu. 14 Zhang, Qi 14 Zhou, Chao 13 Boufoussi, Brahim 13 Briand, Philippe 13 Delarue, François 13 Flandoli, Franco 13 Gobet, Emmanuel 13 Jia, Guangyan 13 Marzougue, Mohamed 13 Mezerdi, Brahim 13 Privault, Nicolas 13 Rozkosz, Andrzej 13 Sanz-Solé, Marta 13 Xiong, Jie 12 Aman, Auguste 12 Bally, Vlad 12 Belopol’skaya, Yana Isaevna 12 Confortola, Fulvia 12 Gess, Benjamin 12 Hu, Feng 12 Khoshnevisan, Davar 12 Richou, Adrien 12 Warin, Xavier 12 Wen, Jiaqiang 12 Yang, Xue 12 Zambotti, Lorenzo 12 Zhang, Jing 12 Zhang, Liangquan 12 Zhang, Xicheng 11 Crisan, Dan O. 11 Hu, Yaozhong 11 Kim, Mun Chŏl 11 Kruse, Thomas 11 Liu, Wei 11 Masiero, Federica 11 Milstein, Grigori N. 11 Pavliotis, Grigorios A. 11 Qiu, Jinniao 11 Quenez, Marie-Claire 11 Ren, Zhenjie 11 Sow, Ahmadou Bamba 11 Wang, Tianxiao ...and 3,038 more Authors all top 5 Cited in 416 Serials 365 Stochastic Processes and their Applications 122 Stochastic Analysis and Applications 115 The Annals of Applied Probability 105 Statistics & Probability Letters 104 The Annals of Probability 99 Journal of Mathematical Analysis and Applications 96 Probability Theory and Related Fields 90 Journal of Differential Equations 83 Applied Mathematics and Optimization 79 Stochastics and Dynamics 75 Stochastics 69 Journal of Functional Analysis 61 SIAM Journal on Control and Optimization 57 Systems & Control Letters 54 Electronic Journal of Probability 52 Random Operators and Stochastic Equations 52 Stochastic and Partial Differential Equations. Analysis and Computations 47 Potential Analysis 46 Journal of Theoretical Probability 43 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 39 Comptes Rendus. Mathématique. Académie des Sciences, Paris 37 Bernoulli 33 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 32 Probability, Uncertainty and Quantitative Risk 29 Journal of Computational and Applied Mathematics 28 Acta Mathematicae Applicatae Sinica. English Series 28 Bulletin des Sciences Mathématiques 27 Applied Mathematics and Computation 27 Acta Mathematica Sinica. English Series 26 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 25 International Journal of Control 25 Discrete and Continuous Dynamical Systems. Series B 25 Science China. 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Series B 12 Acta Applicandae Mathematicae 12 Journal of Scientific Computing 12 Communications in Statistics. Theory and Methods 12 Journal of Evolution Equations 11 Mathematics and Financial Economics 11 Afrika Matematika 10 Computers & Mathematics with Applications 10 Journal of Mathematical Biology 10 Theory of Probability and its Applications 10 Journal of Inequalities and Applications 10 Acta Mathematica Scientia. Series B. (English Edition) 10 ALEA. Latin American Journal of Probability and Mathematical Statistics 9 Archive for Rational Mechanics and Analysis 9 Mathematics of Computation 9 Insurance Mathematics & Economics 9 MCSS. Mathematics of Control, Signals, and Systems 9 Journal of Dynamics and Differential Equations 9 Journal of Nonlinear Science 9 Monte Carlo Methods and Applications 9 Mathematical Methods of Operations Research 9 Methodology and Computing in Applied Probability 8 Chaos, Solitons and Fractals 8 SIAM Journal on Numerical Analysis 8 Journal of Economic Dynamics & Control 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Applied Mathematical Finance 8 Stochastic Models 8 Frontiers of Mathematics in China 8 Numerical Algebra, Control and Optimization 7 Applicable Analysis 7 Nonlinearity 7 Journal of Applied Mathematics and Stochastic Analysis 7 SIAM Journal on Scientific Computing 7 Theory of Probability and Mathematical Statistics 7 Communications in Nonlinear Science and Numerical Simulation 7 Multiscale Modeling & Simulation 7 Asia-Pacific Financial Markets ...and 316 more Serials all top 5 Cited in 50 Fields 3,243 Probability theory and stochastic processes (60-XX) 965 Partial differential equations (35-XX) 752 Systems theory; control (93-XX) 551 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 410 Numerical analysis (65-XX) 406 Calculus of variations and optimal control; optimization (49-XX) 193 Ordinary differential equations (34-XX) 153 Statistics (62-XX) 138 Dynamical systems and ergodic theory (37-XX) 126 Biology and other natural sciences (92-XX) 113 Statistical mechanics, structure of matter (82-XX) 102 Fluid mechanics (76-XX) 92 Operator theory (47-XX) 65 Integral equations (45-XX) 57 Operations research, mathematical programming (90-XX) 56 Global analysis, analysis on manifolds (58-XX) 36 Functional analysis (46-XX) 35 Computer science (68-XX) 32 Potential theory (31-XX) 25 Mechanics of particles and systems (70-XX) 22 Measure and integration (28-XX) 22 Quantum theory (81-XX) 21 Real functions (26-XX) 17 Mechanics of deformable solids (74-XX) 14 Geophysics (86-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Combinatorics (05-XX) 10 Approximations and expansions (41-XX) 8 Difference and functional equations (39-XX) 8 Optics, electromagnetic theory (78-XX) 8 Information and communication theory, circuits (94-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Differential geometry (53-XX) 5 Nonassociative rings and algebras (17-XX) 4 General and overarching topics; collections (00-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 4 Astronomy and astrophysics (85-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 2 Mathematical logic and foundations (03-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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