5 papers
Logarithmic scaling of selective sweep curves: from tents to houses
Florin Boenkost, Felix Hermann, András Tóbiás +1
One of the classical results of mathematical population genetics states that the frequency of a beneficial mutant's offspring, on its way to fixation in a large population, looks l…
Ornstein-Uhlenbeck fluctuations for the line counting process of the ancestral selection graph
Florin Boenkost, Anna-Lena Weinel
For the Moran model with strong or moderate selection we prove that the fluctuations around the deterministic limit of the line counting process of the ancestral selection graph co…
On the block size spectrum of a class of exchangeable dynamic random graphs
Frederic Alberti, Florin Boenkost, Fernando Cordero
In this work we introduce the dynamic -random graph and the associated -coalescent with momentum. Dynamic -random graphs are a subclass of exchangeable and consistent rand…
Power-law scaling of the effective population size in a branching particle system for moderate mutation-selection
Florin Boenkost, Julie Tourniaire
We consider a one-dimensional dyadic branching Brownian motion on with positive drift , branching rate , reflected at and killed at a boundary $L…
On the fixation probability of an advantageous allele in a population with skewed offspring distribution
Matthias Birkner, Florin Boenkost, Iulia Dahmer +1
Consider an advantageous allele that arises in a haploid population of size evolving in continuous time according to a skewed reproduction mechanism, which generates under neut…