4 papers
Two waves of adaptation: speciation induced by dormancy in a model with changing environment
Fernando Cordero, Adrián González Casanova, Jason Schweinsberg
We consider a population model in which the season alternates between winter and summer, and individuals can acquire mutations either that are advantageous in the summer and disadv…
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…
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…
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…