Edit Profile (opens in new tab) Fournier, Nicolas Co-Author Distance Author ID: fournier.nicolas Published as: Fournier, Nicolas; Fournier, N. Homepage: https://perso.lpsm.paris/~nfournier/ External Links: MGP Documents Indexed: 84 Publications since 1999, including 1 Book and 3 Additional arXiv Preprints Co-Authors: 31 Co-Authors with 59 Joint Publications 1,098 Co-Co-Authors all top 5 Co-Authors 22 single-authored 6 Méléard, Sylvie 5 Delattre, Sylvain 5 Mischler, Stéphane 4 Bressaud, Xavier 4 Giet, Jean-Sébastien 4 Laurençot, Philippe 4 Tanré, Etienne 4 Tardif, Camille 3 Deaconu, Madalina 2 Guérin, Hélène 2 Guillin, Arnaud 2 Hauray, Maxime 2 Hoffmann, Marc 2 Löcherbach, Eva 2 Perthame, Benoît 2 Printems, Jacques 2 Roynette, Bernard 2 Tardy, Yoan 1 Bally, Vlad 1 Barral, Julien 1 Bernou, Armand 1 Cepeda, Eduardo 1 Debussche, Arnaud 1 Godinho, David 1 Heydecker, Daniel 1 Jaffard, Stéphane 1 Jourdain, Benjamin 1 Monmarché, Pierre 1 Mouhot, Clément 1 Seuret, Stéphane 1 Tomašević, Milica 1 Veltz, Romain 1 Xu, Liping all top 5 Serials 8 The Annals of Probability 8 Stochastic Processes and their Applications 6 Communications in Mathematical Physics 6 The Annals of Applied Probability 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Statistical Physics 5 Journal of Functional Analysis 4 Kinetic and Related Models 3 Probability Theory and Related Fields 3 Bernoulli 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Monte Carlo Methods and Applications 2 Electronic Communications in Probability 2 Markov Processes and Related Fields 2 Methodology and Computing in Applied Probability 1 Mathematics of Computation 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Statistical Planning and Inference 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Stochastics and Stochastics Reports 1 Electronic Journal of Probability 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Mathematical Sciences 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Electronic Journal of Statistics 1 EMS Surveys in Mathematical Sciences all top 5 Fields 64 Probability theory and stochastic processes (60-XX) 35 Statistical mechanics, structure of matter (82-XX) 22 Partial differential equations (35-XX) 10 Fluid mechanics (76-XX) 7 Integral equations (45-XX) 6 Numerical analysis (65-XX) 6 Biology and other natural sciences (92-XX) 3 Measure and integration (28-XX) 2 Statistics (62-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 1,367 times in 1,017 Documents Cited by ▼ Year ▼ On the rate of convergence in Wasserstein distance of the empirical measure. Zbl 1325.60042 Fournier, Nicolas; Guillin, Arnaud 304 2015 A microscopic probabilistic description of a locally regulated population and macroscopic approximations. Zbl 1060.92055 Fournier, Nicolas; Méléard, Sylvie 124 2004 Propagation of chaos for the 2D viscous vortex model. Zbl 1299.76040 Fournier, Nicolas; Hauray, Maxime; Mischler, Stéphane 61 2014 Hawkes processes on large networks. Zbl 1334.60082 Delattre, Sylvain; Fournier, Nicolas; Hoffmann, Marc 48 2016 Absolute continuity for some one-dimensional processes. Zbl 1248.60062 Fournier, Nicolas; Printems, Jacques 45 2010 On a toy model of interacting neurons. Zbl 1355.92014 Fournier, Nicolas; Löcherbach, Eva 44 2016 Existence of self-similar solutions to Smoluchowski’s coagulation equation. Zbl 1084.82006 Fournier, Nicolas; Laurençot, Philippe 44 2005 Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes. Zbl 1447.65106 Fournier, Nicolas; Jourdain, Benjamin 40 2017 Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential. Zbl 1198.35274 Fournier, Nicolas 36 2010 Existence of densities for stable-like driven SDEs with Hölder continuous coefficients. Zbl 1272.60032 Debussche, Arnaud; Fournier, Nicolas 32 2013 Well-posedness of Smoluchowski’s coagulation equation for a class of homogeneous kernels. Zbl 1106.45003 Fournier, Nicolas; Laurençot, Philippe 31 2006 Well-posedness of the spatially homogeneous Landau equation for soft potentials. Zbl 1165.35467 Fournier, Nicolas; Guérin, Hélène 30 2009 On the well-posedness of the spatially homogeneous Boltzmann equation with a moderate angular singularity. Zbl 1175.76129 Fournier, Nicolas; Mouhot, Clément 28 2009 On the uniqueness for the spatially homogeneous Boltzmann equation with a strong angular singularity. Zbl 1144.82060 Fournier, Nicolas; Guérin, Hélène 24 2008 A stochastic particle numerical method for 3D Boltzmann equations without cutoff. Zbl 0990.60085 Fournier, Nicolas; Méléard, Sylvie 21 2002 Simulation and approximation of Lévy-driven stochastic differential equations. Zbl 1273.60080 Fournier, Nicolas 21 2011 From a Kac-like particle system to the Landau equation for hard potentials and Maxwell molecules. (D’un système de particules de type Kac à l’équation de Landau pour des potentiels durs et des molécules maxwelliennes.) Zbl 1371.82086 Fournier, Nicolas; Guillin, Arnaud 20 2017 Finiteness of entropy for the homogeneous Boltzmann equation with measure initial condition. Zbl 1322.82013 Fournier, Nicolas 19 2015 On pathwise uniqueness for stochastic differential equations driven by stable Lévy processes. Zbl 1273.60069 Fournier, Nicolas 19 2013 Propagation of chaos for the Landau equation with moderately soft potentials. Zbl 1362.82045 Fournier, Nicolas; Hauray, Maxime 17 2016 Local properties of self-similar solutions to Smoluchowski’s coagulation equation with sum kernels. Zbl 1229.45013 Fournier, Nicolas; Laurençot, Philippe 17 2006 On small particles in coagulation-fragmentation equations. Zbl 1018.60061 Fournier, Nicolas; Giet, Jean-Sébastien 17 2003 A pure jump Markov process with a random singularity spectrum. Zbl 1205.60148 Barral, Julien; Fournier, Nicolas; Jaffard, Stéphane; Seuret, Stéphane 16 2010 Rate of convergence of the Nanbu particle system for hard potentials and Maxwell molecules. Zbl 1341.82060 Fournier, Nicolas; Mischler, Stéphane 16 2016 Uniqueness for a class of spatially homogeneous Boltzmann equations without angular cutoff. Zbl 1107.82045 Fournier, Nicolas 14 2006 Malliavin calculus for parabolic SPDEs with jumps. Zbl 1045.60067 Fournier, Nicolas 14 2000 Exponential trend to equilibrium for discrete coagulation equations with strong fragmentation and without a balance condition. Zbl 1170.82349 Fournier, Nicolas; Mischler, Stéphane 13 2004 Convergence of the Marcus-Lushnikov process. Zbl 1229.45012 Fournier, Nicolas; Giet, Jean-Sébastien 13 2004 Probabilistic approach of some discrete and continuous coagulation equations with diffusion. Zbl 1075.60082 Deaconu, Madalina; Fournier, Nicolas 12 2002 A Markov process associated with a Boltzmann equation without cutoff and for non-Maxwell molecules. Zbl 1034.82047 Fournier, Nicolas; Méléard, Sylvie 11 2001 Marcus-Lushnikov processes, Smoluchowski’s and Flory’s models. Zbl 1169.60027 Fournier, Nicolas; Laurençot, Philippe 11 2009 Regularization properties of the 2D homogeneous Boltzmann equation without cutoff. Zbl 1237.82038 Bally, Vlad; Fournier, Nicolas 9 2011 Jumping SDEs: absolute continuity using monotonicity. Zbl 1058.60043 Fournier, Nicolas 9 2002 A spatially homogeneous Boltzmann equation for elastic, inelastic and coalescing collisions. Zbl 1088.82021 Fournier, Nicolas; Mischler, Stéphane 9 2005 Transport distances for PDEs: the coupling method. Zbl 1459.35037 Fournier, Nicolas; Perthame, Benoît 9 2020 On the Kozachenko-Leonenko entropy estimator. Zbl 1359.62098 Delattre, Sylvain; Fournier, Nicolas 8 2017 One dimensional critical kinetic Fokker-Planck equations, Bessel and stable processes. Zbl 1457.35085 Fournier, Nicolas; Tardif, Camille 8 2021 Asymptotic of grazing collisions and particle approximation for the Kac equation without Cutoff. Zbl 1273.82058 Fournier, Nicolas; Godinho, David 7 2012 Statistical inference versus mean field limit for Hawkes processes. Zbl 1343.62050 Delattre, Sylvain; Fournier, Nicolas 7 2016 Strict positivity of the solution to a 2-dimensional spatially homogeneous Boltzmann equation without cutoff. Zbl 0981.60056 Fournier, Nicolas 7 2001 Existence and regularity study for two-dimensional Kac equation without cutoff by a probabilistic approach. Zbl 1056.60052 Fournier, Nicolas 7 2000 A pure jump Markov process associated with Smoluchowski’s coagulation equation. Zbl 1018.60067 Deaconu, Madalina; Fournier, Nicolas; Tanré, Etienne 7 2002 Anomalous diffusion for multi-dimensional critical kinetic Fokker-Planck equations. Zbl 1456.60276 Fournier, Nicolas; Tardif, Camille 7 2020 Monte-Carlo approximations and fluctuations of 2D Boltzmann equations without cutoff. Zbl 0972.60098 Fournier, N.; Méléard, S. 6 2001 Smoothness of the law of some one-dimensional jumping S.D.E.s with non-constant rate of jump. Zbl 1191.60072 Fournier, Nicolas 6 2008 Strict positivity of the density for a Poisson driven s. d. e. Zbl 0944.60066 Fournier, Nicolas 6 1999 Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials. Zbl 1484.82040 Fournier, Nicolas; Heydecker, Daniel 6 2021 A coupling approach for the convergence to equilibrium for a collisionless gas. Zbl 1495.82026 Bernou, Armand; Fournier, Nicolas 6 2022 Existence of densities for jumping stochastic differential equations. Zbl 1090.60053 Fournier, Nicolas; Giet, Jean-Sébastien 5 2006 On the invariant distribution of a one-dimensional avalanche process. Zbl 1171.60022 Bressaud, Xavier; Fournier, Nicolas 5 2009 On exponential moments of the homogeneous Boltzmann equation for hard potentials without cutoff. Zbl 1498.82024 Fournier, Nicolas 5 2021 Rate of convergence of a stochastic particle system for the Smoluchowski coagulation equation. Zbl 1032.82023 Deaconu, Madalina; Fournier, Nicolas; Tanré, Etienne 5 2003 On some stochastic coalescents. Zbl 1101.60079 Fournier, Nicolas 4 2006 Strict positivity of a solution to a one-dimensional Kac equation without cutoff. Zbl 0959.82020 Fournier, Nicolas 4 2000 Particle approximation of some Landau equations. Zbl 1197.82090 Fournier, Nicolas 4 2009 A weak criterion of absolute continuity for jump processes: Application to the Boltzmann equation. Zbl 1009.60048 Fournier, Nicolas; Méléard, Sylvie 4 2002 One-dimensional general forest fire processes. Zbl 1297.60063 Bressaud, Xavier; Fournier, Nicolas 4 2013 Strict positivity of the density for simple jump processes using the tools of support theorems. Application to the Kac equation without cutoff. Zbl 1017.60063 Fournier, Nicolas 4 2002 A nonexpanding transport distance for some structured equations. Zbl 1480.35072 Fournier, Nicolas; Perthame, Benoît 4 2021 On the simulated annealing in \(\mathbb{R}^d\). Zbl 1481.60155 Fournier, Nicolas; Tardif, Camille 4 2021 Asymptotics of one-dimensional forest fire processes. Zbl 1205.60167 Bressaud, Xavier; Fournier, Nicolas 3 2010 Stochastic coalescence with homogeneous-like interaction rates. Zbl 1156.60073 Fournier, Nicolas; Löcherbach, Eva 3 2009 A distance for coagulation. Zbl 1135.60059 Fournier, N. 3 2006 A mean-field forest-fire model. Zbl 1304.82008 Bressaud, Xavier; Fournier, Nicolas 3 2014 On the equivalence between some jumping SDEs with rough coefficients and some non-local PDEs. Zbl 1426.60071 Fournier, Nicolas; Xu, Liping 3 2019 Smoluchowski’s equation: rate of convergence of the Marcus-Lushnikov process. Zbl 1230.60100 Cepeda, Eduardo; Fournier, Nicolas 2 2011 Exact simulation of nonlinear coagulation processes. Zbl 1152.82316 Fournier, Nicolas; Giet, Jean-Sébastien 2 2004 Stability of the stochastic heat equation in \(L^{1}([0,1])\). Zbl 1225.60104 Fournier, Nicolas; Printems, Jacques 2 2011 Support theorem for the solution of a white-noise-driven parabolic stochastic partial differential equation with temporal Poissonian jumps. Zbl 0980.60090 Fournier, Nicolas 2 2001 On a discrete Boltzmann-Smoluchowski equation with rates bounded in the velocity variables. Zbl 1099.82016 Fournier, Nicolas; Mischler, Stéphane 2 2004 Standard stochastic coalescence with sum kernels. Zbl 1112.60078 Fournier, Nicolas 2 2006 A simple proof of non-explosion for measure solutions of the Keller-Segel equation. Zbl 1518.35215 Fournier, Nicolas; Tardy, Yoan 2 2023 A new regularization possibility for the Boltzmann equation with soft potentials. Zbl 1149.76046 Fournier, Nicolas 1 2008 Monte-Carlo approximations for 2D homogeneous Boltzmann equations without cutoff and for non Maxwell molecules. Zbl 1039.82036 Fournier, Nicolas; Méléard, Sylvie 1 2001 Particle approximation of the doubly parabolic Keller-Segel equation in the plane. Zbl 1534.60145 Fournier, Nicolas; Tomašević, Milica 1 2023 A simple proof of non-explosion for measure solutions of the Keller-Segel equation. Zbl 1518.35215 Fournier, Nicolas; Tardy, Yoan 2 2023 Particle approximation of the doubly parabolic Keller-Segel equation in the plane. Zbl 1534.60145 Fournier, Nicolas; Tomašević, Milica 1 2023 A coupling approach for the convergence to equilibrium for a collisionless gas. Zbl 1495.82026 Bernou, Armand; Fournier, Nicolas 6 2022 One dimensional critical kinetic Fokker-Planck equations, Bessel and stable processes. Zbl 1457.35085 Fournier, Nicolas; Tardif, Camille 8 2021 Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials. Zbl 1484.82040 Fournier, Nicolas; Heydecker, Daniel 6 2021 On exponential moments of the homogeneous Boltzmann equation for hard potentials without cutoff. Zbl 1498.82024 Fournier, Nicolas 5 2021 A nonexpanding transport distance for some structured equations. Zbl 1480.35072 Fournier, Nicolas; Perthame, Benoît 4 2021 On the simulated annealing in \(\mathbb{R}^d\). Zbl 1481.60155 Fournier, Nicolas; Tardif, Camille 4 2021 Transport distances for PDEs: the coupling method. Zbl 1459.35037 Fournier, Nicolas; Perthame, Benoît 9 2020 Anomalous diffusion for multi-dimensional critical kinetic Fokker-Planck equations. Zbl 1456.60276 Fournier, Nicolas; Tardif, Camille 7 2020 On the equivalence between some jumping SDEs with rough coefficients and some non-local PDEs. Zbl 1426.60071 Fournier, Nicolas; Xu, Liping 3 2019 Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes. Zbl 1447.65106 Fournier, Nicolas; Jourdain, Benjamin 40 2017 From a Kac-like particle system to the Landau equation for hard potentials and Maxwell molecules. (D’un système de particules de type Kac à l’équation de Landau pour des potentiels durs et des molécules maxwelliennes.) Zbl 1371.82086 Fournier, Nicolas; Guillin, Arnaud 20 2017 On the Kozachenko-Leonenko entropy estimator. Zbl 1359.62098 Delattre, Sylvain; Fournier, Nicolas 8 2017 Hawkes processes on large networks. Zbl 1334.60082 Delattre, Sylvain; Fournier, Nicolas; Hoffmann, Marc 48 2016 On a toy model of interacting neurons. Zbl 1355.92014 Fournier, Nicolas; Löcherbach, Eva 44 2016 Propagation of chaos for the Landau equation with moderately soft potentials. Zbl 1362.82045 Fournier, Nicolas; Hauray, Maxime 17 2016 Rate of convergence of the Nanbu particle system for hard potentials and Maxwell molecules. Zbl 1341.82060 Fournier, Nicolas; Mischler, Stéphane 16 2016 Statistical inference versus mean field limit for Hawkes processes. Zbl 1343.62050 Delattre, Sylvain; Fournier, Nicolas 7 2016 On the rate of convergence in Wasserstein distance of the empirical measure. Zbl 1325.60042 Fournier, Nicolas; Guillin, Arnaud 304 2015 Finiteness of entropy for the homogeneous Boltzmann equation with measure initial condition. Zbl 1322.82013 Fournier, Nicolas 19 2015 Propagation of chaos for the 2D viscous vortex model. Zbl 1299.76040 Fournier, Nicolas; Hauray, Maxime; Mischler, Stéphane 61 2014 A mean-field forest-fire model. Zbl 1304.82008 Bressaud, Xavier; Fournier, Nicolas 3 2014 Existence of densities for stable-like driven SDEs with Hölder continuous coefficients. Zbl 1272.60032 Debussche, Arnaud; Fournier, Nicolas 32 2013 On pathwise uniqueness for stochastic differential equations driven by stable Lévy processes. Zbl 1273.60069 Fournier, Nicolas 19 2013 One-dimensional general forest fire processes. Zbl 1297.60063 Bressaud, Xavier; Fournier, Nicolas 4 2013 Asymptotic of grazing collisions and particle approximation for the Kac equation without Cutoff. Zbl 1273.82058 Fournier, Nicolas; Godinho, David 7 2012 Simulation and approximation of Lévy-driven stochastic differential equations. Zbl 1273.60080 Fournier, Nicolas 21 2011 Regularization properties of the 2D homogeneous Boltzmann equation without cutoff. Zbl 1237.82038 Bally, Vlad; Fournier, Nicolas 9 2011 Smoluchowski’s equation: rate of convergence of the Marcus-Lushnikov process. Zbl 1230.60100 Cepeda, Eduardo; Fournier, Nicolas 2 2011 Stability of the stochastic heat equation in \(L^{1}([0,1])\). Zbl 1225.60104 Fournier, Nicolas; Printems, Jacques 2 2011 Absolute continuity for some one-dimensional processes. Zbl 1248.60062 Fournier, Nicolas; Printems, Jacques 45 2010 Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential. Zbl 1198.35274 Fournier, Nicolas 36 2010 A pure jump Markov process with a random singularity spectrum. Zbl 1205.60148 Barral, Julien; Fournier, Nicolas; Jaffard, Stéphane; Seuret, Stéphane 16 2010 Asymptotics of one-dimensional forest fire processes. Zbl 1205.60167 Bressaud, Xavier; Fournier, Nicolas 3 2010 Well-posedness of the spatially homogeneous Landau equation for soft potentials. Zbl 1165.35467 Fournier, Nicolas; Guérin, Hélène 30 2009 On the well-posedness of the spatially homogeneous Boltzmann equation with a moderate angular singularity. Zbl 1175.76129 Fournier, Nicolas; Mouhot, Clément 28 2009 Marcus-Lushnikov processes, Smoluchowski’s and Flory’s models. Zbl 1169.60027 Fournier, Nicolas; Laurençot, Philippe 11 2009 On the invariant distribution of a one-dimensional avalanche process. Zbl 1171.60022 Bressaud, Xavier; Fournier, Nicolas 5 2009 Particle approximation of some Landau equations. Zbl 1197.82090 Fournier, Nicolas 4 2009 Stochastic coalescence with homogeneous-like interaction rates. Zbl 1156.60073 Fournier, Nicolas; Löcherbach, Eva 3 2009 On the uniqueness for the spatially homogeneous Boltzmann equation with a strong angular singularity. Zbl 1144.82060 Fournier, Nicolas; Guérin, Hélène 24 2008 Smoothness of the law of some one-dimensional jumping S.D.E.s with non-constant rate of jump. Zbl 1191.60072 Fournier, Nicolas 6 2008 A new regularization possibility for the Boltzmann equation with soft potentials. Zbl 1149.76046 Fournier, Nicolas 1 2008 Well-posedness of Smoluchowski’s coagulation equation for a class of homogeneous kernels. Zbl 1106.45003 Fournier, Nicolas; Laurençot, Philippe 31 2006 Local properties of self-similar solutions to Smoluchowski’s coagulation equation with sum kernels. Zbl 1229.45013 Fournier, Nicolas; Laurençot, Philippe 17 2006 Uniqueness for a class of spatially homogeneous Boltzmann equations without angular cutoff. Zbl 1107.82045 Fournier, Nicolas 14 2006 Existence of densities for jumping stochastic differential equations. Zbl 1090.60053 Fournier, Nicolas; Giet, Jean-Sébastien 5 2006 On some stochastic coalescents. Zbl 1101.60079 Fournier, Nicolas 4 2006 A distance for coagulation. Zbl 1135.60059 Fournier, N. 3 2006 Standard stochastic coalescence with sum kernels. Zbl 1112.60078 Fournier, Nicolas 2 2006 Existence of self-similar solutions to Smoluchowski’s coagulation equation. Zbl 1084.82006 Fournier, Nicolas; Laurençot, Philippe 44 2005 A spatially homogeneous Boltzmann equation for elastic, inelastic and coalescing collisions. Zbl 1088.82021 Fournier, Nicolas; Mischler, Stéphane 9 2005 A microscopic probabilistic description of a locally regulated population and macroscopic approximations. Zbl 1060.92055 Fournier, Nicolas; Méléard, Sylvie 124 2004 Exponential trend to equilibrium for discrete coagulation equations with strong fragmentation and without a balance condition. Zbl 1170.82349 Fournier, Nicolas; Mischler, Stéphane 13 2004 Convergence of the Marcus-Lushnikov process. Zbl 1229.45012 Fournier, Nicolas; Giet, Jean-Sébastien 13 2004 Exact simulation of nonlinear coagulation processes. Zbl 1152.82316 Fournier, Nicolas; Giet, Jean-Sébastien 2 2004 On a discrete Boltzmann-Smoluchowski equation with rates bounded in the velocity variables. Zbl 1099.82016 Fournier, Nicolas; Mischler, Stéphane 2 2004 On small particles in coagulation-fragmentation equations. Zbl 1018.60061 Fournier, Nicolas; Giet, Jean-Sébastien 17 2003 Rate of convergence of a stochastic particle system for the Smoluchowski coagulation equation. Zbl 1032.82023 Deaconu, Madalina; Fournier, Nicolas; Tanré, Etienne 5 2003 A stochastic particle numerical method for 3D Boltzmann equations without cutoff. Zbl 0990.60085 Fournier, Nicolas; Méléard, Sylvie 21 2002 Probabilistic approach of some discrete and continuous coagulation equations with diffusion. Zbl 1075.60082 Deaconu, Madalina; Fournier, Nicolas 12 2002 Jumping SDEs: absolute continuity using monotonicity. Zbl 1058.60043 Fournier, Nicolas 9 2002 A pure jump Markov process associated with Smoluchowski’s coagulation equation. Zbl 1018.60067 Deaconu, Madalina; Fournier, Nicolas; Tanré, Etienne 7 2002 A weak criterion of absolute continuity for jump processes: Application to the Boltzmann equation. Zbl 1009.60048 Fournier, Nicolas; Méléard, Sylvie 4 2002 Strict positivity of the density for simple jump processes using the tools of support theorems. Application to the Kac equation without cutoff. Zbl 1017.60063 Fournier, Nicolas 4 2002 A Markov process associated with a Boltzmann equation without cutoff and for non-Maxwell molecules. Zbl 1034.82047 Fournier, Nicolas; Méléard, Sylvie 11 2001 Strict positivity of the solution to a 2-dimensional spatially homogeneous Boltzmann equation without cutoff. Zbl 0981.60056 Fournier, Nicolas 7 2001 Monte-Carlo approximations and fluctuations of 2D Boltzmann equations without cutoff. Zbl 0972.60098 Fournier, N.; Méléard, S. 6 2001 Support theorem for the solution of a white-noise-driven parabolic stochastic partial differential equation with temporal Poissonian jumps. Zbl 0980.60090 Fournier, Nicolas 2 2001 Monte-Carlo approximations for 2D homogeneous Boltzmann equations without cutoff and for non Maxwell molecules. Zbl 1039.82036 Fournier, Nicolas; Méléard, Sylvie 1 2001 Malliavin calculus for parabolic SPDEs with jumps. Zbl 1045.60067 Fournier, Nicolas 14 2000 Existence and regularity study for two-dimensional Kac equation without cutoff by a probabilistic approach. Zbl 1056.60052 Fournier, Nicolas 7 2000 Strict positivity of a solution to a one-dimensional Kac equation without cutoff. Zbl 0959.82020 Fournier, Nicolas 4 2000 Strict positivity of the density for a Poisson driven s. d. e. Zbl 0944.60066 Fournier, Nicolas 6 1999 all cited Publications top 5 cited Publications all top 5 Cited by 1,337 Authors 34 Fournier, Nicolas 23 Velázquez, Juan J. L. 21 Mischler, Stéphane 20 Löcherbach, Eva 18 Méléard, Sylvie 13 Tran, Viet Chi 12 Niethammer, Barbara 11 Finkelshteĭn, Dmitriĭ Leonidovich 11 Jabin, Pierre-Emmanuel 11 Kondrat’yev, Yuriĭ Grygorovych 10 Mouhot, Clément 9 Carrillo de la Plata, José Antonio 9 Friesen, Martin 9 Laurençot, Philippe 9 Liu, Jianguo 9 Tkachov, Pasha 8 Champagnat, Nicolas 8 He, Lingbing 8 Huang, Hui 8 Smadi, Charline 7 Carrapatoso, Kleber 7 Cloez, Bertrand 7 Cortez, Roberto 7 Desvillettes, Laurent 7 Monmarché, Pierre 7 Rüdiger, Barbara 7 Salem, Samir 7 Throm, Sebastian 7 Wang, Zhenfu 6 Bally, Vlad 6 Delarue, François 6 Di Persio, Luca 6 Erny, Xavier 6 Escobedo Martínez, Miguel 6 Fontbona, Joaquin 6 Jin, Peng 6 Lods, Bertrand 6 Maurelli, Mario 6 Munk, Axel 6 Perthame, Benoît 6 Seuret, Stéphane 6 Strain, Robert M. 6 Tanré, Etienne 6 Tomašević, Milica 6 Wang, Feng-Yu 6 Zhang, Xicheng 5 Bayraktar, Erhan 5 Bezborodov, Viktor 5 Bovier, Anton 5 Chevallier, Julien 5 Choi, Young-Pil 5 Coghi, Michele 5 Costa, Manon 5 Deaconu, Madalina 5 Dolera, Emanuele 5 Ferreira, Marina A. 5 Gualdani, Maria Pia 5 Huang, Xing 5 Kutoviy, Oleksandr V. 5 Lacker, Daniel 5 Nota, Alessia 5 Olivera, Christian 5 Snelson, Stanley 5 Veltz, Romain 5 Wiesel, Johannes C. W. 5 Xu, Huifu 4 Alnafisah, Yousef 4 Bertoin, Jean 4 Beznea, Lucian 4 Billiard, Sylvain 4 Cañizo, José Alfredo 4 Cardaliaguet, Pierre 4 Chaudru De Raynal, Paul-Eric 4 Clement, Emmanuelle 4 Coron, Camille 4 Diez, Antoine 4 Duarte, Aline 4 Etchegaray, Christèle 4 Ferriere, Regis 4 Gloter, Arnaud 4 Guo, Qian 4 Jourdain, Benjamin 4 Kulczycki, Tadeusz 4 Kulik, Alexey M. 4 Loukianova, Dasha 4 Lu, Yulong 4 Nakatsu, Tomonori 4 Niles-Weed, Jonathan 4 Obloj, Jan K. 4 Ost, Guilherme 4 Pham, Huyên 4 Röckner, Michael 4 Romito, Marco 4 Ryznar, Michał 4 Tong, Jinying 4 Wagner, Wolfgang 4 Zhang, Zhenzhong 4 Zhu, Lingjiong 3 Bagland, Véronique 3 Berman, Robert J. ...and 1,237 more Authors all top 5 Cited in 224 Serials 67 Stochastic Processes and their Applications 51 The Annals of Applied Probability 43 Journal of Statistical Physics 31 Journal of Mathematical Biology 27 Electronic Journal of Probability 26 SIAM Journal on Mathematical Analysis 25 Probability Theory and Related Fields 23 Bernoulli 22 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 20 Kinetic and Related Models 19 Journal of Differential Equations 18 The Annals of Probability 17 Electronic Journal of Statistics 16 Archive for Rational Mechanics and Analysis 16 Communications in Mathematical Physics 15 Journal of Functional Analysis 14 Statistics & Probability Letters 13 Advances in Applied Probability 13 ALEA. Latin American Journal of Probability and Mathematical Statistics 11 Stochastic Analysis and Applications 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Nonlinearity 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Mathematical Programming. Series A. Series B 10 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 9 Journal of Mathematical Analysis and Applications 9 Journal of Theoretical Probability 9 Discrete and Continuous Dynamical Systems 9 Stochastic and Partial Differential Equations. Analysis and Computations 8 The Annals of Statistics 8 Journal of Applied Probability 8 Communications in Partial Differential Equations 8 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Potential Analysis 7 NoDEA. Nonlinear Differential Equations and Applications 7 Journal of Machine Learning Research (JMLR) 6 Transactions of the American Mathematical Society 6 Acta Applicandae Mathematicae 6 Journal of Nonlinear Science 6 Communications in Nonlinear Science and Numerical Simulation 6 Séminaire Laurent Schwartz. EDP et Applications 5 Journal of Mathematical Physics 5 Applied Mathematics and Optimization 5 SIAM Journal on Control and Optimization 5 SIAM Journal on Optimization 5 Electronic Communications in Probability 5 Mathematical Finance 5 Journal of Evolution Equations 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Mathematical Methods in the Applied Sciences 4 Quarterly of Applied Mathematics 4 European Journal of Operational Research 4 Calculus of Variations and Partial Differential Equations 4 Chaos 4 Acta Mathematica Sinica. English Series 4 Discrete and Continuous Dynamical Systems. Series B 4 Stochastics 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Probability and Mathematical Physics 3 Applicable Analysis 3 Chaos, Solitons and Fractals 3 Advances in Mathematics 3 Applied Mathematics and Computation 3 Mathematics of Operations Research 3 Memoirs of the American Mathematical Society 3 Insurance Mathematics & Economics 3 Physica D 3 Computers & Operations Research 3 Applied Mathematics Letters 3 Applied and Computational Harmonic Analysis 3 Stochastics and Dynamics 3 Advances in Difference Equations 3 Discrete and Continuous Dynamical Systems. Series S 3 Science China. Mathematics 2 Journal of Computational Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Bulletin of Mathematical Biology 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Journal of Multivariate Analysis 2 Mathematics and Computers in Simulation 2 Operations Research 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Theoretical Population Biology 2 Operations Research Letters 2 Random Structures & Algorithms 2 SIAM Journal on Scientific Computing 2 Electronic Journal of Differential Equations (EJDE) 2 Bulletin des Sciences Mathématiques 2 Monte Carlo Methods and Applications 2 INFORMS Journal on Computing 2 Fractional Calculus & Applied Analysis ...and 124 more Serials all top 5 Cited in 41 Fields 621 Probability theory and stochastic processes (60-XX) 342 Partial differential equations (35-XX) 221 Statistical mechanics, structure of matter (82-XX) 174 Biology and other natural sciences (92-XX) 123 Statistics (62-XX) 87 Numerical analysis (65-XX) 76 Integral equations (45-XX) 68 Fluid mechanics (76-XX) 65 Operations research, mathematical programming (90-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 54 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 Operator theory (47-XX) 28 Ordinary differential equations (34-XX) 27 Computer science (68-XX) 26 Measure and integration (28-XX) 26 Dynamical systems and ergodic theory (37-XX) 25 Systems theory; control (93-XX) 22 Combinatorics (05-XX) 15 Real functions (26-XX) 13 Functional analysis (46-XX) 13 Mechanics of particles and systems (70-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Approximations and expansions (41-XX) 8 Integral transforms, operational calculus (44-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Mechanics of deformable solids (74-XX) 6 Information and communication theory, circuits (94-XX) 5 Quantum theory (81-XX) 3 Difference and functional equations (39-XX) 3 General topology (54-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Algebraic topology (55-XX) Citations by Year