I. Dahmer

activity

20122023

most citedThe total external branch length of Beta-coalescents

10 citations · 10 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2023

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 $N$ evolving in continuous time according to a skewed reproduction mechanism, which generates under neut…

math.PR2020

The joint fluctuations of the lengths of the Beta $(2 - α, α)$ -coalescents

Matthias Birkner, Iulia Dahmer, Christina S. Diehl +1

We consider Beta $(2 - α, α)$ -coalescents with parameter range $1 < α < 2$ starting from $n$ leaves. The length $ℓ_{r}^{(n)}$ of order $r$ in the $n$ -Beta $(2 - α, α)$ -coalescent tree is d…

math.PR2012★ 10 cited

The total external branch length of Beta-coalescents

Götz Kersting, Iulia Stanciu, Anton Wakolbinger

For $1 < α < 2$ we derive the asymptotic distribution of the total length of {\em external} branches of a Beta $(2 - α, α)$ -coalescent as the number $n$ of leaves becomes large. It turns…

On the fixation probability of an advantageous allele in a population with skewed offspring distribution

The joint fluctuations of the lengths of the Beta(2−α,α)-coalescents

The total external branch length of Beta-coalescents

The joint fluctuations of the lengths of the Beta $(2 - α, α)$ -coalescents