Sylvie Méléard - Selected Publications#

Stochastic particle approximations for generalized Boltzmann models and convergence estimates, C. Graham and S. Méléard, Ann. Probab. 25, no. 1 (1997), 115-132.

Microscopic probabilistic description of a locally regulated population and macroscopic approximations, N. Fournier and S. Méléard, Ann. Appl. Probab. 14, no 4 (2004), 1880-1919.

Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models, N. Champagnat, R. Ferri\`ere and S.Méléard, Theoretical Population Biology 69 (2006) 297-321.

Polymorphic evolution sequence and evolutionary branching, N. Champagnat and S. Méléard, Probab. Theory Related Fields, Volume 151, Issue 1 (2011), 45--94.

Lévy flights in evolutionary ecology, B. Jourdain, S. Méléard and W. Woyczynski, J. Math. Biol. 65 (2012), no. 4, 677-707.

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

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

Scaling limits of population and evolution processes in random environments}, V. Bansaye, M.E. Caballero and S. Méléard. Electronic Journal of Probability , Vol. 24, paper no. 19, 1-38 (2019).

Quasi-Stationary Distribution and Resilience: what to get from a sample?, J.R. Chazottes, P. Collet, S. Martinez ans S. Méléard. Journal de l'Ecole polytechnique - Mathématiques, Tome 7, 943-980 (2020).

Stochastic analysis of emergence of evolutionary cyclic behavior in population dynamics with transfer, N. Champagnat, S. Méléard and V.C. Tran. To appear in Annals of Applied Probability (2021).