2 papers
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…