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math.DS2024
Long time behavior of a degenerate stochastic system modeling the response of a population face to environmental impacts
Pierre Collet, Claire Ecotière, Sylvie Méléard
We study the asymptotics of a two-dimensional stochastic differential system with a degenerate diffusion matrix. This system describes the dynamics of a population where individual…
math.PR2024
Branching diffusion processes and spectral properties of Feynman-Kac semigroup
Pierre Collet, Sylvie Méléard, Jaime San MARTIN
In this article we study the long time behavior of linear functionals of branching diffusion processesas well as the time reversal of the spinal process by means of spectral proper…