Publications

Prépublications (sur Hal, ArXiv ou BioArXiv):

Phenotypic plasticity trade-offs in an age-structured model of bacterial growth under stress. Meriem El Karoui; Ignacio Madrid; Sylvie Méléard.

Long time behavior and Yaglom limit for real trait-structured Birth and Death Processes. Pierre Collet, Sylvie Méléard, Jaime San Martín.

Classical JAK2V617F+ Myeloproliferative Neoplasms emergence and development based on real life incidence and mathematical modeling. Ana Fernandez Baranda; Vincent Bansaye; Evelyne Lauret; Valérie Ugo; Morgane Mounier; Sylvie Méléard; Stéphane Giraudier.

Hematopoiesis as a continuum: from stochastic compartmental model to hydrodynamic limit. Ana Fernandez Baranda; Vincent Bansaye; Stéphane Giraudier; Sylvie Méléard.

Deciphering the Replication-Division Coordination in E. coli: A Unified Mathematical framework for Systematic Model Comparison. Alexandre Perrin; Marie Doumic; Meriem El Karoui; Sylvie Méléard.

From stochastic individual-based models to free-boundary Hamilton-Jacobi equations. Nicolas Champagnat, Sylvie Méléard, Sepideh Mirrahimi, Viet Chi Tran

Acceptés pour publication

Long time behavior of Feynman-Kac semigroups. Pierre Collet, Sylvie Méléard, Jaime San Martín. Annales de la Faculté des Sciences de Toulouse.

Random Models in Biology, Ecology and Evolution. S. Méléard. Springer.

Publications

• • P. Collet, C. Ecotière, S. Méléard. Long time behavior of a degenerate stochastic system modeling the response of a population to its environmental perception. Electronic Communications in Probability Vol. 30, Issue none, (Jan 2025) , pgs 1-12.

  • Roget, T., MacMurray, C., Jolivet, P. and Méléard, S. and Rera, M., 2024. A scenario for an evolutionary selection of ageing. eLife. DOI: 10.7554/eLife.92914.3.

  • Bansaye V., Erny X., Méléard S., 2024. Sharp approximation and hitting times for stochastic invasion processes. Stochastic Processes and their Applications 178 (2024) 104458, A tribute to Francis Comets. DOI:10.1016/j.spa.2024.104458

  • Bansaye, V., Caballero, M.-E., Méléard, S., San Martin, J., Scaling limits of bisexual Galton-Watson processes, Stochastics 95 (2023), no. 5, 749–784.

  • Champagnat, N., Méléard S., Mirrahimi S., Tran C.V., Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations, Journal de l'Ecole polytechnique- Mathematiques, Tome 10 (2023), p. 1247-1275. https://doi.org/10.5802/jep.244

  • Champagnat, N., Méléard S., Tran V.C., Multiscale eco-evolutionary models: from individuals to populations, ICM2022, International Mathematical Union, EMS Press, (2023). https://doi.org/10.4171/icm2022.

  •  Chazottes, J.R., Collet, P., Méléard, S.., Large population limit of the spectrum of killed birth-and-death processes,  J. Funct. Anal. 285 (2023), no. 9, Paper No. 110092.

  • Ecotière, C., Billiard, S., André, J.-B., Collet, P., Ferrière, R., Méléard, S., Human-environment feedback and the consistency of proenvironmental behaviour, PloS Computational Biology(2023).  https://doi.org/10.1371/journal.pcbi.1011429.

  • Freoa, L., Chevin, L.M., Christol, P., Méléard, S., Rera, M., Véber, A.  and Gibert, J.M..2023, Drosophilid cuticle pigmentation impacts body temperature. Scientific Reports 13:3513, https://doi.org/10.1038/s41598-023-30652-6.

  • Henry, B., Méléard, S., Tran. V.C., Time reversal of spinal processes for linear and non-linear branching processes near stationarity.  Electron. J. Probab. 28: 1-27 (2023). DOI: 10.1214/23-EJP911.

  •  Calvez, V., Henry, B., Méléard, S. and Tran, V.C., (2022). Dynamics of lineages in adaptation to a gradual environmental change, Ann. H. Lebesgue 5, 729–777. https://doi.org/10.5802/ahl.135

  •   Champagnat, N., Méléard, S., Tran, V.C., (2022). Multiscale eco-evolutionary models: from individuals to populations, ICM2022, International Mathematical Union, published by EMS Press. DOI 10.4171/ICM2022/24 

  • Bonnet, C., Gou, P., Girel, S., Bansaye, V., Lacout, C., Bailly, K., Schlagetter, M.H., Lauret E., Méléard, S., Giraudier S., (2021). Multistage hematopoietic stem cell regulation in the mouse: a combined biological and mathematical approach, iScience; 24 (12):103399. Open access. DOI : https://doi.org/10.1016/j.isci.2021.103399

  •   Bonnet, C., Méléard, S., (2021), Large fluctuations in multi-scale modeling for rest erythropoiesis. J.Math. Biol. 82, no. 6, Paper No. 58. DOI : https://doi.org/10.1007/s00285-021-01611-41

  •   Champagnat, N., Méléard, S., Tran V.C., (2021). Stochastic analysis of emergence of evolutionary cyclic behavior in population dynamics with transfer, Annals of Applied Probability 31, no. 4, 1820-1867. DOI : https://doi.org/10.1214/20-AAP1635

  • Calvez V., Figueroa Iglesias S., Hivert H., Méléard S., Melnykova A., Nordmann A. Horizontal gene transfer: numerical comparison between stochastic and deterministic approaches, ESAIM Proceedings (CEMRACS 2018)(2020). DOI : https://doi.org/10.1051/proc/202067009

  •  Chazottes J.-R., Collet P., Martínez S., Méléard S. Quasi-stationary distributions and resilience: what to get from a sample ? Journal de l'École polytechnique — Mathématiques, Tome 7, 943-980 (2020). DOI : https://doi.org/10.5802/jep.132

  •   Graham C., Harmand J., Méléard S., Tchouanti J. Bacterial Metabolic Heterogeneity: from Stochastic to Deterministic Models, Mathematical Biosciences and Engineering 17 (5), 5120-5133 (2020). DOI : https://doi.org/10.3934/mbe.2020276

•   Lepers C., Billiard S., Porte M., Méléard S. and Tran V.C. Inference with selection, varying population size and evolving population structure: Application of ABC to a forward-backward coalescent process with interactions, Heredity 126, 335-350 (2020). DOI : https://doi.org/10.1038/s41437-020-00381-x

•   Bansaye V., Caballero M.E., Méléard S., Scaling limits of population and evolution processes in random environment. Elect. J. of Probab.

•   Bansaye V., Collet P., Martinez S., Méléard S., San Martin J., Diffusions from infinity. Trans. Amer. Math. Soc.

•  Chazottes J.R., Collet P., Méléard S., On time scales and quasi-stationary distributions for multitype birth-and-death processes. Annales de l’Institut Henri Poincaré - Probabilités et Statistiques. 

•  Coron C., Méléard S., Villemonais D., Impact of demography on extinction/fixation events. J. of Mathematical Biology.

•  Méléard S., Réra M., Roget T., The b-d model of ageing: from individual-based dynamics to evolutive differential inclusions. J. Maths Biology.

•  Billiard S., Collet P., Ferrière R., Méléard S., Tran V.C., Stochastic dynamics for adaptation and evolution of microorganisms, European Congress of Mathematics Berlin 2016, V. Mehrmann and M. Skutella eds, pp. 525–550, EMS Publishing House, (2018) hal

•  Collot D., Nidelet T., Ramsayer J., Martin O., Méléard S., Dillmann C., Sicard D., Legrand J., Feedback between environment and traits under selection in a seasonal environment : consequences for experimental evolution, Proceedings of the Royal Society B, Vol. 285, No. 1876, (2018)

•   Bansaye V., Méléard S., Richard M. Speed of coming down from infinity for birth and death processes.Adv. in Appl. Probab. 48 (2016), no. 4, 1183–1210., (2016).

•  Billiard S., Collet P., Ferrière R., Méléard S., Tran V.C. The effect of competition and horizontal trait hesitance on invasion, fixation and polymorphism. J. Theoret. Biol. 411 (2016), 48–58.

•   Bansaye, Vincent; Méléard, Sylvie; Richard, Mathieu Speed of coming down from infinity for birth-and-death processes. Adv. in Appl. Probab. 48 (2016), no. 4, 1183–1210. 

•  Billiard, Sylvain; Collet, Pierre; Ferrière, Régis; Méléard, Sylvie; Tran, Viet Chi The effect of competition and horizontal trait inheritance on invasion, fixation, and polymorphism. J. Theoret. Biol. 411 (2016), 48–58.

•   Chazottes, J.-R.; Collet, P.; Méléard, S. Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes. Probab. Theory Related Fields 164 (2016), no. 1-2, 285–332. 

•    Costa, Manon; Hauzy, Céline; Loeuille, Nicolas; Méléard, Sylvie Stochastic eco-evolutionary model of a prey-predator community. J. Math. Biol. 72 (2016), no. 3, 573–622.

•  Billiard, Sylvain; Ferrière, Régis; Méléard, Sylvie; Tran, Viet Chi Stochastic dynamics of adaptive trait and neutral marker driven by eco-evolutionary feedbacks. J. Math. Biol. 71 (2015), no. 5, 1211–1242. 

•   Leman, Hélène; Méléard, Sylvie; Mirrahimi, Sepideh Influence of a spatial structure on the long time behavior of a competitive Lotka-Volterra type system. Discrete Contin. Dyn. Syst. Ser. B 20 (2015), no. 2,469–493.

•  Méléard, Sylvie; Mirrahimi, Sepideh Singular limits for reaction-diffusion equations with fractional Laplacian and local or nonlocal nonlinearity. Comm. Partial Differential Equations 40 (2015), no. 5, 957–993.

•   Fontbona, Joaquin; Méléard, Sylvie Non local Lotka-Volterra system with cross-diffusion in an heterogeneous medium. J. Math. Biol. 70 (2015), no. 4, 829–854.

•    Champagnat, Nicolas; Jabin, Pierre-Emmanuel; Méléard, Sylvie Adaptation in a stochastic multi-resources chemostat model. J. Math. Pures Appl. (9) 101 (2014), no. 6, 755–788. 

•   Coron C., Méléard S., Porcher E., Robert A.: Quantifying the mutational meltdown in diploid populations. American Naturalist. 181(5): 623-636 (2013).

•   Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime Stochastic models for a chemostat and long-time behavior. Adv. in Appl. Probab. 45 (2013), no. 3, 822–836.

• 40.  Méléard, Sylvie; Rœlly, Sylvie Evolutive two-level population process and large population approximations. Ann. Univ. Buchar. Math. Ser. 4(LXII) (2013), no. 1, 37–70. 

•  Collet, Pierre; Méléard, Sylvie; Metz, Johan A. J. A rigorous model study of the adaptive dynamics of Mendelian diploids. J. Math. Biol. 67 (2013), no. 3, 569–607.

•   Méléard, Sylvie; Villemonais, Denis Quasi-stationary distributions and population processes. Probab. Surv. 9 (2012), 340–410.

•   Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A. Lévy flights in evolutionary ecology. J. Math. Biol. 65 (2012), no. 4, 677–707.

•   Méléard, Sylvie; Tran, Viet Chi Nonlinear historical superprocess approximations for population models with past dependence. Electron. J. Probab. 17 (2012), no. 47, 32 pp.

•    Méléard, Sylvie; Tran, Viet Chi Slow and fast scales for superprocess limits of age-structured populations. Stochastic Process. Appl. 122 (2012), no. 1, 250–276.

•   Méléard, Sylvie Random modeling of adaptive dynamics and evolutionary branching. The mathematics of Darwin's legacy, 175–192, Math. Biosci. Interact., Birkhäuser/Springer Basel AG, Basel, 2011.

•  Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime Quasi-stationary distributions for structured birth and death processes with mutations. Probab. Theory Related Fields 151 (2011), no. 1-2, 191–231. 

•  Champagnat, Nicolas; Méléard, Sylvie Polymorphic evolution sequence and evolutionary branching. Probab. Theory Related Fields 151 (2011), no. 1-2, 45–94. 

•  Fontbona, Joaquin; Guérin, Hélène; Méléard, Sylvie Measurability of optimal transportation and strong coupling of martingale measures. Electron. Commun. Probab. 15 (2010), 124–133.

•   Barret, Florent; Bovier, Anton; Méléard, Sylvie Uniform estimates for metastable transition times in a coupled bistable system. Electron. J. Probab. 15 (2010), no. 12, 323–345.

•  Cattiaux, Patrick; Méléard, Sylvie Competitive or weak cooperative stochastic Lotka-Volterra systems conditioned on non-extinction. J. Math. Biol. 60 (2010), no. 6, 797–829. 

•    Cattiaux, Patrick; Collet, Pierre; Lambert, Amaury; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime Quasi-stationary distributions and diffusion models in population dynamics. Ann. Probab. 37 (2009), no. 5, 1926–1969.

•    Méléard, S. Introduction to stochastic models for evolution. Markov Process. Related Fields15 (2009), no. 3, 259–264. 62-06 (60-06 92-06).

•    Méléard, Sylvie; Tran, Viet Chi Trait substitution sequence process and canonical equation for age-structured populations. J. Math. Biol. 58 (2009), no. 6, 881–921.

•    Fontbona, Joaquin; Guérin, Hélène; Méléard, Sylvie Measurability of optimal transportation and convergence rate for Landau type interacting particle systems. Probab. Theory Related Fields 143 (2009), no. 3-4, 329–351.

•    Champagnat, Nicolas; Ferrière, Régis; Méléard, Sylvie From individual stochastic processes to macroscopic models in adaptive evolution. Stoch. Models 24 (2008), suppl. 1, 2–44.

•    Champagnat, Nicolas; Ferrière, Régis; Méléard, Sylvie Individual-based probabilistic models of adaptive evolution and various scaling approximations. Seminar on Stochastic Analysis, Random Fields and Applications V, 75–113, Progr. Probab., 59, Birkhäuser, Basel, 2008.

•   Fontbona, J.; Méléard, S. A random space-time birth particle method for 2D vortex equations with external field. Math. Comp. 77 (2008), no. 263, 1525–1558. 

•   Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A. Nonlinear SDEs driven by Lévy processes and related PDEs. ALEA Lat. Am. J. Probab. Math. Stat. 4 (2008), 1–29.

•   Champagnat, Nicolas; Méléard, Sylvie Invasion and adaptive evolution for individual-based spatially structured populations. J. Math. Biol. 55 (2007), no. 2, 147–188.

•   Champagnat, N., Ferrière, R., Méléard, S. Unifying evolutionary dynamics : From individual stochastic processes to macroscopic models. Theor. Popul. Biol. 69, 297-321 (2006).

•   Guérin, Hélène; Méléard, Sylvie; Nualart, Eulalia Estimates for the density of a nonlinear Landau process. J. Funct. Anal. 238 (2006), no. 2, 649–677.

•   Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A. Probabilistic approximation and inviscid limits for one-dimensional fractional conservation laws. Bernoulli 11 (2005), no. 4, 689–714

•  Jacod, Jean; Kurtz, Thomas G.; Méléard, Sylvie; Protter, Philip The approximate Euler method for Lévy driven stochastic differential equations. Ann. Inst. H. Poincaré Probab. Statist. 41 (2005), no. 3,523–558.

•    Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A. A probabilistic approach for nonlinear equations involving the fractional Laplacian and a singular operator. Potential Anal. 23 (2005), no. 1,55–81.

•   Méléard, Sylvie Stochastic particle approximations for two-dimensional Navier-Stokes equations. Dynamics and randomness II, 147–197, Nonlinear Phenom. Complex Systems, 10, Kluwer Acad. Publ., Dordrecht, 2004.

•  Fournier, Nicolas; Méléard, Sylvie A microscopic probabilistic description of a locally regulated population and macroscopic approximations. Ann. Appl. Probab. 14 (2004), no. 4, 1880–1919.

•   Jourdain, Benjamin; Méléard, Sylvie Probabilistic interpretation and particle method for vortex equations with Neumann's boundary condition. Proc. Edinb. Math. Soc. (2) 47 (2004), no. 3, 597–624.

•   Guérin, Hélène; Méléard, Sylvie Convergence from Boltzmann to Landau processes with soft potential and particle approximations. J. Statist. Phys. 111 (2003), no. 3-4, 931–966.

•   Fournier, Nicolas; Méléard, Sylvie A weak criterion of absolute continuity for jump processes: application to the Boltzmann equation. Bernoulli 8 (2002), no. 4, 537–558.

• Fournier, Nicolas; Méléard, Sylvie A stochastic particle numerical method for 3D Boltzmann equations without cutoff. Math. Comp. 71 (2002), no. 238, 583–604. 

•  Méléard, Sylvie Monte-Carlo approximations for 2d Navier-Stokes equations with measure initial data. Probab. Theory Related Fields 121 (2001), no. 3, 367–388.

•  Fournier, Nicolas; Méléard, Sylvie A Markov process associated with a Boltzmann equation without cutoff and for non-Maxwell molecules. J. Statist. Phys. 104 (2001), no. 1-2, 359–385.

•  Fournier, N.; Méléard, S. Monte-Carlo approximations and fluctuations for 2D Boltzmann equations without cutoff. Inhomogeneous random systems (Cergy-Pontoise, 2000). Markov Process. Related Fields 7 (2001), no. 1, 159–191.

•  Fournier, Nicolas; Méléard, Sylvie Monte-Carlo approximations for 2d homogeneous Boltzmann equations without cutoff and for non Maxwell molecules. Monte Carlo and probabilistic methods for partial differential equations (Monte Carlo, 2000). Monte Carlo Methods Appl. 7 (2001), no. 1-2, 177–192.

•   Jacod, Jean; Méléard, Sylvie; Protter, Philip Explicit form and robustness of martingale representations. Ann. Probab. 28 (2000), no. 4, 1747–1780.

•  Méléard, Sylvie A trajectorial proof of the vortex method for the two-dimensional Navier-Stokes equation. Ann. Appl. Probab. 10 (2000), no. 4, 1197–1211.

•   Fernández, Begoña; Méléard, Sylvie Asymptotic behaviour for interacting diffusion processes with space-time random birth. Bernoulli 6 (2000), no. 1, 91–111.

•   Desvillettes, Laurent; Graham, Carl; Méléard, Sylvie Probabilistic interpretation and numerical approximation of a Kac equation without cutoff. Stochastic Process. Appl. 84 (1999), no. 1, 115–135.

•   Graham, Carl; Méléard, Sylvie Existence and regularity of a solution of a Kac equation without cutoff using the stochastic calculus of variations. Comm. Math. Phys. 205 (1999), no. 3, 551–569.

•   Méléard, Sylvie Probabilistic interpretation and approximations of some Boltzmann equations. Stochastic models (Spanish) (Guanajuato, 1998), 1–64, Aportaciones Mat. Investig., 14, Soc. Mat. Mexicana, México, 1998.

•  Meleard, Sylvie Convergence of the fluctuations for interacting diffusions with jumps associated with Boltzmann equations. Stochastics Stochastics Rep. 63 (1998), no. 3-4, 195–225. 

• Jourdain, B.; Méléard, S. Propagation of chaos and fluctuations for a moderate model with smooth initial data. Ann. Inst. H. Poincaré Probab. Statist. 34 (1998), no. 6, 727–766.   

•   Meleard, Sylvie Stochastic approximations of the solution of a full Boltzmann equation with small initial data. ESAIM Probab. Statist. 2 (1998), 23–40.

•  C. Graham and S. Méléard.  An Upper Bound of Large Deviations for a Generalized Star-Shaped Loss Network. Markov Processes Relat. Fields 3, 199-223 (1997) 

•   Graham, C.; Méléard, S. A large deviation principle for a large star-shaped loss network with links of capacity one. Statistical mechanics of large networks. Markov Process. Related Fields 3 (1997), no. 4, 475–492.

•   Fernandez, Begoña; Méléard, Sylvie A Hilbertian approach for fluctuations on the McKean-Vlasov model. Stochastic Process. Appl. 71 (1997), no. 1, 33–53.

•  Graham, C.; Méléard, S. An upper bound of large deviations for a generalized star-shaped loss network. Markov Process. Related Fields 3 (1997), no. 2, 199–223.

•   Graham, Carl; Méléard, Sylvie Stochastic particle approximations for generalized Boltzmann models and convergence estimates. Ann. Probab. 25 (1997), no. 1, 115–132.

•   Graham, Carl; Méléard, Sylvie Convergence rate on path space for stochastic particle approximations to the Boltzmann equation. ICIAM/GAMM 95 (Hamburg, 1995). Z. Angew. Math. Mech. 76 (1996), suppl. 1, 291–294. 

•   Graham, C.; Kurtz, Th. G.; Méléard, S.; Protter, Ph. E.; Pulvirenti, M.; Talay, D. Probabilistic models for nonlinear partial differential equations. Lectures given at the 1st Session and Summer School held in Montecatini Terme, May 22–30, 1995. Edited by Talay and L. Tubaro. Lecture Notes in Mathematics, 1627.Fondazione CIME/CIME Foundation Subseries. Springer-Verlag, Berlin; Centro Internazionale Matematico Estivo (C.I.M.E.), Florence, 1996. x+301 pp. ISBN: 3-540-61397-8.

•   Graham, Carl; Méléard, Sylvie Dynamic asymptotic results for a generalized star-shaped loss network. Ann. Appl. Probab. 5 (1995), no. 3, 666–680.

•   Graham, Carl; Méléard, Sylvie Chaos hypothesis for a system interacting through shared resources. Probab. Theory Related Fields 100 (1994), no. 2, 157–173.

•   Graham, Carl; Méléard, Sylvie Fluctuations for a fully connected loss network with alternate routing. Stochastic Process. Appl. 53 (1994), no. 1, 97–115.

•   Méléard, S.; Roelly, S. Interacting measure branching processes. Some bounds for the support. Stochastics Stochastics Rep. 44 (1993), no. 1-2, 103–121.

•   Méléard, Sylvie; Roelly, Sylvie Sur les convergences étroite ou vague de processus à valeurs mesures. (French) [On the weak or vague convergence of measure-valued processes] C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), no. 8, 785–788. 

•  Graham, Carl; Méléard, Sylvie Propagation of chaos for a fully connected loss network with alternate routing. Stochastic Process. Appl. 44 (1993), no. 1, 159–180. 

•   Méléard, S.; Roelly, S. Interacting branching measure processes. Stochastic partial differential equations and applications (Trento, 1990), 246–256, Pitman Res. Notes Math. Ser., 268, Longman Sci. Tech., Harlow, 1992.

•  Méléard, S.; Roelly, S. An ergodic result for critical spatial branching processes. Stochastic analysis and related topics (Silivri, 1990), 333–341, Progr. Probab., 31, Birkhäuser Boston, Boston, MA, 1992.

•   Méléard, S. Representation and approximation of martingale measures. Stochastic partial differential equations and their applications (Charlotte, NC, 1991), 188–199, Lect. Notes Control Inf. Sci., 176,Springer, Berlin, 1992.

•   Méléard, Sylvie; Roelly, Sylvie Discontinuous measure-valued branching processes and generalized stochastic equations. Math. Nachr. 154 (1991), 141–156.

•  Méléard, S. Some stochastic models of interacting diffusion processes and the associated propagation of chaos. Stochastic modelling in biology (Heidelberg, 1988), 107–125, World Sci. Publ., Teaneck, NJ,1990.

•  El Karoui, N.; Méléard, S. Martingale measures and stochastic calculus. Probab. Theory Related Fields 84 (1990), no. 1, 83–101.

•  Méléard, Sylvie; Roelly-Coppoletta, Sylvie A generalized equation for a continuous measure branching process. Stochastic partial differential equations and applications, II (Trento, 1988), 171–185, Lecture Notes in Math., 1390, Springer, Berlin, 1989.

•   Méléard, S.; Roelly-Coppoletta, S. Système de particules et mesures-martingales: un théorème de propagation du chaos. (French) . Particle systems and martingale measures: a theorem on the propagation of chaos] Séminaire de Probabilités, XXII, 438–448, Lecture Notes in Math., 1321, Springer, Berlin,1988.

• Méléard, Sylvie; Roelly-Coppoletta, Sylvie A propagation of chaos result for a system of particles with moderate interaction. Stochastic Process. Appl. 26 (1987), no. 2, 317–332

• Méléard, Sylvie Application du calcul stochastique à l'etude de processus de Markov réguliers sur [0,1]. (French) [Application of stochastic calculus to the study of regular Markov processes on [0,1]] Stochastics 19 (1986), no. 1-2, 41–82.

Articles de diffusion

1.      Méléard S., Modélisation aléatoire de la biodiversité : de l’importance des paramètres d’échelle, Gazette de la SMF, 2017.

2.      

3.     Bansaye, Vincent; Méléard, Sylvie; Véber, Amandine Les différentes échelles de temps de l'évolution. (French) [The various time scales of evolution] Matapli No. 100 (2013), 101–116. 

4.      Méléard, Sylvie Approche probabiliste pour l'étude d'équations aux dérivées partielles non linéaires issues de la mécanique des fluides. (French) [Probabilistic approach to the study of nonlinear PDEs from fluid mechanics] Matapli No. 65 (2001), 35–49. 

LIVRES

To appear : Random Models in Biology, Ecology and Evolution. S. Méléard. Springer.

Méléard, Sylvie Modèles aléatoires en ecologie et evolution. (French) [Random models in ecology and evolution] Mathématiques & Applications (Berlin) [Mathematics & Applications], 77. Springer-Verlag, Berlin, 2016. xii+268 pp. ISBN: 978-3-662-49455-4; 978-3-662-49454-7.

Bansaye, Vincent; Méléard, Sylvie. Stochastic models for structured populations. Scaling limits and long time behavior. Mathematical Biosciences Institute Lecture Series. Stochastics in Biological Systems, 1.4. Springer, Cham; MBI Mathematical Biosciences Institute, Ohio State University, Columbus, OH, 2015. x+107 pp. ISBN: 978-3-319-21710-9; 978-3-319-21711-6

Méléard, Sylvie Processus de branchement. Applications en écologie. (French) [Branching processes. Applications in ecology] Aléatoire, 1–51, Ed. Éc. Polytech., Palaiseau, 2013.  

Méléard, Sylvie. Aléatoire. Introduction à la théorie et au calcul des probabilités, Editions de l'Ecole polytechnique, 2011.

Méléard, Sylvie Asymptotic behaviour of some interacting particle systems; McKean-Vlasov and Boltzmann models. Probabilistic models for nonlinear partial differential equations (Montecatini Terme, 1995), 42–95, Lecture Notes in Math., 1627, Fond. CIME/CIME Found. Subser., Springer, Berlin, 1996.

Méléard, Sylvie; Piquet, Claude; Decomps-Guilloux, Annette Analyse et probabilités.(French) [Analysis and probability theory] Avec rappels de cours. [With course summaries] Problèmes de Mathématiques. Écrit du CAPES 1991–1996. [Mathematics Problems. CAPES Exams 1991–1996] Masson, Paris,1997. vi+303 pp. ISBN: 2-225-85517-X