Wednesday, July 29, 2026 - 15:15 in V3-201+Zoom
On the construction of branching particle systems in McKean–Vlasov media
A talk in the Bielefeld Stochastic Afternoon series by
Iulian Cimpean
| Abstract: |
A large-size population of healthy particles move, interact, and crowd each other, their hydrodynamic limit being described by a McKean-Vlasov SDE. A tiny finite set of sick particles that follow the same movement of the healthy particles, branch (silently infect other particles) according to a branching mechanism that may depend on time, on the position of the sick particle, and on the distribution of the entire population. The role of this presentation is to describe a potential theoretic approach for realizing the movement of the sick particles in the hydrodynamic limit as a strong Markov (discrete measure valued) branching process in continuous-time. The coefficients are allowed to be singular. Joint work with L. Beznea and M. Röckner.
Within the CRC this talk is associated to the project(s): A5, B1 |
Back
