Fabian Freund

activity

20082019

collaborators

3 papers

math.PR2019

The minimal observable clade size of exchangeable coalescents

Fabian Freund, Arno Siri-Jégousse

For $Λ$ - $n$ -coalescents with mutation, we analyse the size $O_{n}$ of the partition block of $i \in {1, \dots, n}$ at the time where the first mutation appears on the tree that affect…

math.PR2013

Minimal clade size in the Bolthausen-Sznitman coalescent

Fabian Freund, Arno Siri-Jégousse

This article shows the asymptotics of distribution and moments of the size $X_{n}$ of the minimal clade of a randomly chosen individual in a Bolthausen-Sznitman $n$ -coalescent for $n…

math.PR2008

On the number of allelic types for samples taken from exchangeable coalescents with mutation

Fabian Freund, Martin Möhle

Let $K_{n}$ denote the number of types of a sample of size $n$ taken from an exchangeable coalescent process ( $Ξ$ -coalescent) with mutation. A distributional recursion for the sequen…