4 papers · 1 filter
Genealogical structures under interactive neutral reproduction: factorial moment duality via a Frankenstein process
Ellen Baake, Fernando Cordero, Hannah Dopmeyer
We establish a genealogical framework for an existing analytical moment duality between a Wright--Fisher type SDE and a counting process with interaction. To achieve this, we const…
Killing versus catastrophes in birth-death processes and an application to population genetics
Ellen Baake, Fernando Cordero, Enrico Di Gaspero +1
We establish connections between the absorption probabilities of a class of birth-death processes with killing, and the stationary tail of a related class of birth-death processes…
Structured coalescents, coagulation equations and multi-type branching processes
Fernando Cordero, Sophia-Marie Mellis, Emmanuel Schertzer
Consider a structured population consisting of colonies, with migration rates proportional to a positive parameter . We sample individuals, distributed evenly across t…
Critical multitype branching: a functional limit theorem and ancestral processes
Ellen Baake, Fernando Cordero, Sophia-Marie Mellis +1
We consider the long-term behaviour of critical multitype branching processes conditioned on non-extinction, both with respect to the forward and the ancestral processes. Forward i…