3 papers
math.PR2025
Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime
Airam Blancas, Maria Clara Fittipaldi, Sarai Hernandez-Torres
The mother-dependent neutral mutations model describes the evolution of a population across discrete generations, where neutral mutations occur among a finite set of possible allel…
math.PR2024
Crossing bridges between percolation models and Bienaymé-Galton-Watson trees
Airam Blancas, María Clara Fittipaldi, Saraí Hernández-Torres
In this survey, we explore the connections between two areas of probability: percolation theory and population genetic models. Our first goal is to highlight a construction on Galt…
math.PR2018
Trees within trees: Simple nested coalescents
Airam Blancas, Jean-Jil Duchamps, Amaury Lambert +1
We consider the compact space of pairs of nested partitions of , where by analogy with models used in molecular evolution, we call "gene partition" the finer partition a…