4 papers
Microscopic Weak Selection Principle for the Logistic Branching Brownian Motion with selection
F. E. Bravo Lozano, M. C. Fittipaldi
In this work, we present the logistic branching Brownian motion with selection (Log-BBM), a modification of the N-BBM defined by Groisman et. al (2020), in which birth and competit…
-Seed-Bank-Wright-Fisher process conditioned on fixation
MarÃa Clara Fittipaldi, Adrián González Casanova, Julio Ernesto Nava Trejo
We investigate the -Seed-Bank-Wright-Fisher process, a model describing allele frequency dynamics in populations exhibiting both skewed offspring distributions and dormancy. By…
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…