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math.PR2026
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…
math.PR2025
A two-size Wright--Fisher model: asymptotic analysis via uniform renewal theory
Gerold Alsmeyer, Fernando Cordero, Hannah Dopmeyer
We consider a population with two types of individuals, distinguished by the resources required for reproduction: type- (small) individuals need a fractional resource unit of si…