Christina S. Diehl

collaborators

3 papers

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.PR2018

External branch lengths of $Λ$ -coalescents without a dust component

Christina S. Diehl, Götz Kersting

$Λ$ -coalescents model genealogies of samples of individuals from a large population by means of a family tree whose branches have lengths. The tree's leaves represent the individua…

math.PR2018

Tree lengths for general $Λ$ -coalescents and the asymptotic site frequency spectrum around the Bolthausen-Sznitman coalescent

Christina S. Diehl, Götz Kersting

We study tree lengths in $Λ$ -coalescents without a dust component from a sample of $n$ individuals. For the total length of all branches and the total length of all external branch…

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

External branch lengths of Λ-coalescents without a dust component

Tree lengths for general Λ-coalescents and the asymptotic site frequency spectrum around the Bolthausen-Sznitman coalescent

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

External branch lengths of $Λ$ -coalescents without a dust component

Tree lengths for general $Λ$ -coalescents and the asymptotic site frequency spectrum around the Bolthausen-Sznitman coalescent