14 citations · 14 across the 5 of their papers we have counts for
7 papers
The Q-process for the general mother-dependent multitype branching process
Airam Blancas, María Clara Fittipaldi, Saraí Hernández-Torres
The general mother-dependent neutral mutations model is a multitype branching process describing a population evolving in discrete time, in which mutations occur among a finite set…
Scaling limits for allelic subfamilies in a mother-dependent multitype branching process
Airam Blancas, Maria Clara Fittipaldi, Sarai Hernandez-Torres
The mother-dependent neutral mutations model describes the evolution of a population across discrete generations in which every individual carries one of alleles and each mutan…
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…
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…
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…
Evolving genealogies for branching populations under selection and competition
Airam Blancas, Stephan Gufler, Sandra Kliem +2
For a continuous state branching process with two types of individuals which are subject to selection and density dependent competition, we characterize the joint evolution of popu…
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…