Sylvie Méléard
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French mathematician
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Sylvie Méléardmathematics Degrees
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Measure Theory
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Mathematics
Why Is Sylvie Méléard Influential?
(Suggest an Edit or Addition)According to Wikipedia, Sylvie Méléard is a French mathematician specializing in probability theory, stochastic processes, particle systems, and stochastic differential equations. She is editor-in-chief of Stochastic Processes and Their Applications.
Sylvie Méléard's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models. (2006) (439)
- Asymptotic behaviour of some interacting particle systems; McKean-Vlasov and Boltzmann models (1996) (331)
- A microscopic probabilistic description of a locally regulated population and macroscopic approximations (2004) (297)
- Stochastic particle approximations for generalized Boltzmann models and convergence estimates (1997) (146)
- From Individual Stochastic Processes to Macroscopic Models in Adaptive Evolution (2008) (129)
- Invasion and adaptive evolution for individual-based spatially structured populations (2006) (100)
- Polymorphic evolution sequence and evolutionary branching (2008) (96)
- The approximate Euler method for Lévy driven stochastic differential equations (2005) (94)
- Propagation of chaos and fluctuations for a moderate model with smooth initial data (1998) (90)
- Probabilistic Models for Nonlinear Partial Differential Equations (1996) (88)
- Martingale measures and stochastic calculus (1990) (77)
- A propagation of chaos result for a system of particles with moderate interaction (1987) (71)
- Competitive or weak cooperative stochastic Lotka–Volterra systems conditioned on non-extinction (2008) (70)
- Trait Substitution Sequence process and Canonical Equation for age-structured populations (2009) (67)
- Chaos hypothesis for a system interacting through shared resources (1994) (58)
- Explicit form and robustness of martingale representations (2000) (54)
- A Hilbertian approach for fluctuations on the McKean-Vlasov model (1997) (51)
- Convergence of the fluctuations for interacting diffusions with jumps associated with boltzmann equations (1998) (50)
- A rigorous model study of the adaptive dynamics of Mendelian diploids (2011) (48)
- Probabilistic Interpretation and Numerical Approximation of a Kac Equation without Cutoff (1999) (46)
- Stochastic Models for Structured Populations (2015) (46)
- Lévy flights in evolutionary ecology (2012) (42)
- Propagation of chaos for a fully connected loss network with alternate routing (1993) (39)
- A stochastic particle numerical method for 3D Boltzmann equations without cutoff (2002) (37)
- Influence of a spatial structure on the long time behavior of a competitive Lotka-Volterra type system (2014) (34)
- Non local Lotka-Volterra system with cross-diffusion in an heterogeneous medium (2013) (34)
- Existence and Regularity of a Solution of a Kac Equation Without Cutoff Using the Stochastic Calculus of Variations (1999) (31)
- A trajectorial proof of the vortex method for the two-dimensional Navier-Stokes equation (2001) (30)
- Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes (2014) (30)
- Probabilistic approximation and inviscid limits for one-dimensional fractional conservation laws (2005) (29)
- Quasi-stationary distributions for structured birth and death processes with mutations (2009) (29)
- A Probabilistic Approach for Nonlinear Equations Involving the Fractional Laplacian and a Singular Operator (2005) (29)
- Stochastic eco-evolutionary model of a prey-predator community (2014) (28)
- Interacting measure branching processes. Some bounds for the support (1993) (27)
- A Markov Process Associated with a Boltzmann Equation Without Cutoff and for Non-Maxwell Molecules (2001) (26)
- Monte-Carlo approximations for 2d Navier-Stokes equations with measure initial data (2001) (26)
- Scaling limits of population and evolution processes in random environment (2019) (26)
- Quantifying the Mutational Meltdown in Diploid Populations (2013) (23)
- Probabilistic tools and Monte-Carlo approximations for some Boltzmann equations (2001) (22)
- Stochastic Models for a Chemostat and Long-Time Behavior (2012) (19)
- Measurability of optimal transportation and convergence rate for Landau type interacting particle systems (2007) (19)
- Measurability of optimal transportation and strong coupling of martingale measures (2008) (19)
- Stochastic dynamics of adaptive trait and neutral marker driven by eco-evolutionary feedbacks (2013) (19)
- Discontinuous Measure-Valued Branching Processes and Generalized Stochastic Equations (1991) (18)
- The effect of competition and horizontal trait inheritance on invasion, fixation, and polymorphism. (2015) (18)
- A generalized equation for a continuous measure branching process (1989) (15)
- Random Modeling of Adaptive Dynamics and Evolutionary Branching (2011) (11)
- A weak criterion of absolute continuity for jump processes; Application to the Boltzmann equation (2002) (11)
- Convergence from Boltzmann to Landau Processes with Soft Potential and Particle Approximations (2003) (10)
- Stochastic approximations of the solution of a full Boltzmann equation with small initial data (1998) (10)
- Asymptotic behaviour for interacting diffusion processes with space-time random birth (2000) (10)
- PROBABILISTIC INTERPRETATION AND PARTICLE METHOD FOR VORTEX EQUATIONS WITH NEUMANN’S BOUNDARY CONDITION (2004) (9)
- Monte-Carlo approximations and fluctuations for 2D Boltzmann equations without cutoff (2008) (9)
- Representation and approximation of martingale measures (1992) (9)
- An Ergodic Result for Critical Spatial Branching Processes (1992) (8)
- Fluctuations for a fully connected loss network with alternate routing (1994) (7)
- Age-structured Trait Substitution Sequence Process and Canonical Equation (2007) (7)
- Dynamic Asymptotic Results for a Generalized Star-Shaped Loss Network (1995) (7)
- Feedback between environment and traits under selection in a seasonal environment: consequences for experimental evolution (2018) (6)
- Availability of the Molecular Switch XylR Controls Phenotypic Heterogeneity and Lag Duration during Escherichia coli Adaptation from Glucose to Xylose (2020) (6)
- Limiting Feller diffusions for logistic populations with age-structure (2011) (5)
- Monte-Carlo approximations for 2d homogeneous Boltzmann equations without cutoff and for non Maxwell molecules (2001) (5)
- Impact of demography on extinction/fixation events (2019) (5)
- Stochastic Particle Approximations for Two-Dimensional Navier-Stokes Equations (2004) (5)
- Convergence rate on path space for stochastic particle approximations to the Boltzmann equation (1996) (4)
- Evolution of a structured population in a heterogeneous environment (2012) (4)
- Birth and Death Processes (2015) (3)
- A birth–death model of ageing: from individual-based dynamics to evolutive differential inclusions (2018) (3)
- Quasi-stationarity for population diffusion processes (2007) (2)
- Quasi-stationary distributions and resilience: what to get from a sample? (2019) (2)
- A random space-time birth particle method for 2d vortex equations with external field (2008) (2)
- Combined Biological and Modeling Approach of Hematopoiesis: From Native to Stressed Erythropoiesis (2021) (2)
- Large fluctuations in multi-scale modeling for rest hematopoiesis (2021) (1)
- Modeling the Behavior of Hematopoietic Compartments from Stem to Red Cells in Murine Steady State and Stress Hematopoiesis (2019) (1)
- Multistage hematopoietic stem cell regulation in the mouse: A combined biological and mathematical approach (2021) (1)
- Positive selection of senescence through increased evolvability: ageing is not a by-product of evolution (2022) (1)
- Exponential estimates for spatially homogeneous Landau equations via the Malliavin calculus (2004) (1)
- Supplementary material from "Feedback between environment and traits under selection in a seasonal environment: consequences for experimental evolution" (2018) (0)
- Population Point Measure Processes (2015) (0)
- Drosophilids with darker cuticle have higher body temperature under light (2023) (0)
- Feller Diffusion with Random Catastrophes (2015) (0)
- A birth–death model of ageing: from individual-based dynamics to evolutive differential inclusions (2019) (0)
- Viral transduction and the dynamics of bacterial adaptation (2021) (0)
- A rigorous model study of the adaptive dynamics of Mendelian diploids (2012) (0)
- Inference with selection, varying population size, and evolving population structure: application of ABC to a forward–backward coalescent process with interactions (2020) (0)
- Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes (2015) (0)
- Continuous State Branching Processes (2015) (0)
- Lévy flights in evolutionary ecology (2011) (0)
- Drosophilid cuticle pigmentation impacts body temperature (2022) (0)
- Stochastic eco-evolutionary model of a prey-predator community (2015) (0)
- Historical superprocess limits for population models with past dependence and competition (2011) (0)
- Human-environment feedback and the consistency of proenvironmental behaviour (2022) (0)
- Impact of demography on extinction/fixation events (2018) (0)
- Markov Processes along Continuous Time Galton-Watson Trees (2015) (0)
- Feedback loops between traits under selection and the environment in batch experimental evolution: a mathematical analysis (2017) (0)
- The bd-model of ageing: from individual-based dynamics to evolutive differential inclusions (2018) (0)
- Publisher Correction: Drosophilids with darker cuticle have higher body temperature under light (2023) (0)
- Availability of the Molecular Switch XylR Controls Phenotypic Heterogeneity and Lag Duration during <named-content content-type='genus-species'>Escherichia coli</named-content> Adaptation from Glucose to Xylose (2020) (0)
- 2 Quasi-stationary distributions 2 . 1 Different notions of long time behavior conditioned on non extinction (2009) (0)
- Stochastic dynamics of adaptive trait and neutral marker driven by eco-evolutionary feedbacks (2014) (0)
- Scaling limits for the individual-based process (2015) (0)
- Scaling Limits for Birth and Death Processes (2015) (0)
- Non local Lotka-Volterra system with cross-diffusion in an heterogeneous medium (2014) (0)
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