SPDE population models, non-linear branching and the (almost) compact support property

par Thomas Hughes

jeudi 11 déc. 2025, 14:00 → 15:00 Europe/Paris

435 (ENS)

This talk concerns the support propagation phenomenology of spatial populations modelled by SPDEs and coupled systems of SDEs, whose solutions can be viewed as densities of spatial branching populations with density-dependent (non-linear) branch rates. After discussing some classical and new results on the compact support property for equations with diffusion motion, I will discuss a work in progress which proves an "almost compact support property" for certain models whose underlying motions are discontinuous. A corollary of this is that the instantaneous propagation of supports for superprocesses with jump motions is, in a certain sense, sharp.

This talk includes joint work with Marcel Ortgiese.