4 papers · 1 filter
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…
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…
Variational convergence for an irreversible exchange-driven stochastic particle system
Jasper Hoeksema, Chun Yin Lam, André Schlichting
We show the variational convergence of an irreversible Markov jump process describing a finite stochastic particle system to the solution of a countable infinite system of determin…
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…