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  • Stochastic Models for Structured Populations

    Scaling Limits and Long Time Behavior

    Series series Mathematics and Statistics (R0)
    In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes.Structured population dynamics are modeled by measure-valued processes describing the individual behaviors and taking into account the demographic ... Read more

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  • Stochastic Porous Media Equations

    Series series Mathematics and Statistics (R0)
    Focusing on stochastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Stochastic perturbations of the porous media equation have reviously been considered by physicists, but rigorous mathematical existence results have only recently been found.The porous media equation models a number of ... Read more

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