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math.PR2025
Wright--Fisher kernels: from linear to non-linear dynamics, ergodicity and McKean--Vlasov scaling limits
Fernando Cordero, Christian Jorquera, Héctor Olivero +1
We study the evolution of a pathogen with two allelic types infecting a population of hosts, where within-host type frequencies evolve in discrete time. Our framework is built on a…
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…
math.PR2025
On the block size spectrum of a class of exchangeable dynamic random graphs
Frederic Alberti, Florin Boenkost, Fernando Cordero
In this work we introduce the dynamic -random graph and the associated -coalescent with momentum. Dynamic -random graphs are a subclass of exchangeable and consistent r…