# Generalized gradient structures for measure-valued population dynamics and their large-population limit

@inproceedings{Hoeksema2022GeneralizedGS, title={Generalized gradient structures for measure-valued population dynamics and their large-population limit}, author={Jasper Hoeksema and Oliver Tse}, year={2022} }

We consider the forward Kolmogorov equation corresponding to measure-valued processes stemming from a class of interacting particle systems in population dynamics, including variations of the Bolker-Pacala-Dieckmann-Law model. Under the assumption of detailed balance, we provide a rigorous generalized gradient structure, incorporating the fluxes arising from the birth and death of the particles. Moreover, in the large population limit, we show convergence of the forward Kolmogorov equation to a…

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