Título: Coalescent Structure of Galton Watson trees in varying environment

Palestrante: Sandra Palau (IIMAS - UNAM)
Data: 08/05/2023
Horário: 15:00 ás 16:00
Local: Transmissão Online 

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Resumo: In this talk, we analyse the genealogy of a sample of k particles without replacement from a population alive at large time in a critical Galton Watson process in varying environment. Our approach uses k distinguished spine particles and a suitable change of measure similar to a k-size biasing with a discounting rate proportional to the total population size. Under this measure, we provide the law of the splitting times of the spines and the offspring distribution of particles on and off the spines.

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Sincerely,

Organizers: Giulio Iacobelli e Maria Eulalia Vares