2 papers
math.PR2025
A conditional coalescent for diploid exchangeable population models given the pedigree
Frederic Alberti, Matthias Birkner, Wai-Tong Louis Fan +1
We study coalescent processes conditional on the population pedigree under the exchangeable diploid bi-parental population model of \citet{BirknerEtAl2018}. While classical coalesc…
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…