Wednesday, June 7, 2023 - 14:15 in V3-201 + Zoom
EDP-Convergence of Generalized Gradient Flows for Measure-Valued Population Dynamics
A talk in the Bielefeld Stochastic Afternoon series by
Jasper Hoeksema
| Abstract: |
In this talk, we consider the Kolmogorov forward equation corresponding to measure-valued processes arising from stochastic models in population dynamics, particularly the Bolker-Pacala-Dieckmann-Law model over an arbitrary compact Polish space. Under the assumption of detailed balance, we provide a generalized gradient flow structure that incorporates the birth and death fluxes.
Moreover, we show that, under appropriate rescaling, in the large population limit the master equation converges to a Liouville equation associated with the classical mean-field limit of the process, and that the corresponding gradient flow structures converge in the sense of Energy Dissipation Principles. In particular, we obtain entropic propagation of chaos.
Within the CRC this talk is associated to the project(s): B8 |
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