4 papers
Fixation and stationary times for the -Wright-Fisher process
Airam Blancas, Adrián González Casanova, Sebastian Hummel +1
We study the fixation and stationary behavior of the Lambda-Wright-Fisher process with parent-independent mutation and finitely many types, a jump-diffusion model for allele freque…
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…
Crossing bridges between percolation models and Bienaymé-Galton-Watson trees
Airam Blancas, MarÃa Clara Fittipaldi, Saraà 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…
Coalescent point process of branching trees in varying environment
Airam Blancas, Sandra Palau
Consider an arbitrary large population at the present time, originated at an unspecified arbitrary large time in the past, where individuals in the same generation reproduce indepe…