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math.PR2025
A conditional coalescent for diploid exchangeable population models given the pedigree
Frederic Alberti, Matthias Birkner, Wai-Tong Louis Fan +1
We study coalescent processes conditional on the population pedigree under the exchangeable diploid bi-parental population model of \citet{BirknerEtAl2018}. While classical coalesc…
math.PR2024
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…