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math.PR2024
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…
math.PR2024
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…
math.PR2024
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…