1 citations · 2 across the 4 of their papers we have counts for
6 papers
Asymptotic sampling distributions made easy: loose linkage in the ancestral recombination graph
Frederic Alberti
Understanding the interplay between recombination and resampling is a significant challenge in mathematical population genetics and of great practical relevance. Asymptotic results…
Labelled partitions in action: recombination, selection, mutation, and more
Frederic Alberti
In this paper, we consider the evolution of an (infinitely large) population under recombination and additional evolutionary forces, modelled by a measure-valued ordinary different…
Selection, recombination, and the ancestral initiation graph
Frederic Alberti, Carolin Herrmann, Ellen Baake
Recently, the selection-recombination equation with a single selected site and an arbitrary number of neutral sites was solved by means of the ancestral selection-recombination gra…
Genetic recombination as a Generalised Gradient Flow
Frederic Alberti
It is well known that the classical recombination equation for two parent individuals is equivalent to the law of mass action of a strongly reversible chemical reaction network, an…
Solving the migration-recombination equation from a genealogical point of view
Frederic Alberti, Ellen Baake, Ian Letter +1
We consider the discrete-time migration-recombination equation, a deterministic, nonlinear dynamical system that describes the evolution of the genetic type distribution of a popul…
Solving the selection-recombination equation: Ancestral lines under selection and recombination
Ellen Baake, Frederic Alberti
The deterministic selection-recombination equation describes the evolution of the genetic type composition of a population under selection and recombination in a law of large numbe…