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math.AP2025
Singular jump processes as generalized gradient flows
Jasper Hoeksema, Riccarda Rossi, Oliver Tse
We extend the generalized gradient-flow framework of Peletier, Rossi, Savaré, and Tse to singular jump processes on abstract metric spaces, moving beyond the translation-invariant…
math.AP2024
Large population limit of interacting population dynamics via generalized gradient structures
Jasper Hoeksema, Anastasiia Hraivoronska, Oliver Tse
This chapter focuses on the derivation of a doubly nonlocal Fisher-KPP model, which is a macroscopic nonlocal evolution equation describing population dynamics in the large populat…
math.AP2022
Generalized gradient structures for measure-valued population dynamics and their large-population limit
Jasper Hoeksema, Oliver Tse
We consider the forward Kolmogorov equation corresponding to measure-valued processes stemming from a class of interacting particle systems in population dynamics, including variat…