Friday, September 17, 2021 - 11:15 in ZOOM - Video Conference
Branching Brownian motion with social distancing
A talk in the Keine Reihe series by
Anton Bovier
| Abstract: |
We consider a model of branching Brownian motion with self repulsion. Self-repulsion is introduced via change of measure that penalises particles spending time in an $\varepsilon$-neighbourhood of each other. We derive a simplified version of the model where only branching events are penalised. This model is almost exactly solvable and we derive a precise description of the particle numbers and branching times. In the limit of weak penalty, an interesting universal time-inhomogeneous branching process emerges. The position of the maximum is governed by a F-KPP type reaction-diffusion equation with a time dependent reaction term.
This is joined work with Lisa Hartung.
Registration vi via email to popgen.conference@techfak.de
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