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math.PR2026
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…
math.PR2025
The Offended Voter Model
Raphael Eichhorn, Felix Hermann, Marco Seiler
We study a variant of the voter model on a coevolving network in which interactions of two individuals with differing opinions only lead to an agreement on one of these opinions wi…
math.PR2025
From clonal interference to Poissonian interacting trajectories
Felix Hermann, Adrián Gonzalez Casanova, Renato Soares dos Santos +2
We consider a population whose size is fixed over the generations, and in which random beneficial mutations arrive at a rate of order per generation. In this so-call…