Browsing by Author "Méléard, Sylvie"

Now showing items 1-4 of 4

    • MEASURABILITY OF OPTIMAL TRANSPORTATION AND STRONG COUPLING OF MARTINGALE MEASURES 
      Fontbona Torres, Joaquín; Guérin, Hélène; Méléard, Sylvie (2010)
      We consider the optimal mass transportation problem in Rd with measurably parameterized marginals under conditions ensuring the existence of a unique optimal transport map. We prove a joint measurability result for this ...
    • Non local Lotka-Volterra system with cross-diffusion in an heterogeneous medium 
      Fontoba Torres, Joaquín; Méléard, Sylvie (Springer, 2015)
      We introduce a stochastic individual model for the spatial behavior of an animal population of dispersive and competitive species, considering various kinds of biological effects, such as heterogeneity of environmental ...
    • Quasi-stationary distributions and diffusion models in population dynamics 
      Cattiaux, Patrick; Collet, Pierre; Lambert, Amaury; Martínez Aguilera, Servet; Méléard, Sylvie; San Martín Aristegui, Jaime (2009)
      In this paper we study quasi-stationarity for a large class of Kolmogorov diffusions. The main novelty here is that we allow the drift to go to−∞at the origin, and the diffusion to have an entrance boundary at +∞. These ...
    • Quasi-stationary distributions for structured birth and death processes with mutations 
      Collet, Pierre; Martínez Aguilera, Servet; Méléard, Sylvie; San Martín Aristegui, Jaime (2011)
      We study the probabilistic evolution of a birth and death continuous time measure-valued process with mutations and ecological interactions. The individuals are characterized by (phenotypic) traits that take values in a ...