22.01.2026, 16:15 Uhr
– Raum 1.22, Haus 9
Forschungsseminar Differentialgeometrie
Index theory and spectral flow of Toeplitz operators
Koen van den Dungen (Bonn)
Samuel Sindayigaya (Kigali)
Abstrasct:
We study Birth-Death-Immigration-Emigration (BDIE) Processes with genocide incidence via their probability generating functions. The influence of genocide incidence, as a partial catastrophe, consists in reducing the population size to a non-zero state. We compute explicitly the first moments of such a random population size as function of the genocide parameters. An application to the population of Rwanda will be discussed.