7 papers
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…
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…
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…
The genealogy of nearly critical branching processes in varying environment
Florin Boenkost, Félix Foutel-Rodier, Emmanuel Schertzer
Building on the spinal decomposition technique in Foutel-Rodier and Schertzer (2022) we prove a Yaglom limit law for the rescaled size of a nearly critical branching process in var…
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 r…
Haldane's asymptotics for supercritical branching processes in an iid random environment
Florin Boenkost, Götz Kersting
Branching processes in a random environment are natural generalisations of Galton-Watson processes. In this paper we analyse the asymptotic decay of the survival probability for a…