172 citations · 321 across the 17 of their papers we have counts for
20 papers
Haldane's asymptotics for supercritical branching processes in an iid random environment
Florin Boenkost, Götz Kersting
Branching processes in a random environment are natural generalisations of Galton-Watson processes. In this paper we analyse the asymptotic decay of the survival probability for a…
On the genealogical structure of critical branching processes in a varying environment
Götz Kersting
Critical branching processes in a varying environment behave much the same as critical Galton-Watson processes. In this note we like to confirm this finding with regard to the unde…
Defective Galton-Watson processes in a varying environment
Götz Kersting, Carmen Minuesa
We study an extension of the so-called defective Galton-Watson processes obtained by allowing the offspring distribution to change over the generations. Thus, in these processes, t…
Site Frequency Spectrum of the Bolthausen-Sznitman Coalescent
Götz Kersting, Arno Siri-Jégousse, Alejandro H. Wences
We derive explicit formulas for the two first moments of he site frequency spectrum of the Bolthausen-Sznitman coalescent along with some precise an…
External branch lengths of -coalescents without a dust component
Christina S. Diehl, Götz Kersting
-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…
Tree lengths for general -coalescents and the asymptotic site frequency spectrum around the Bolthausen-Sznitman coalescent
Christina S. Diehl, Götz Kersting
We study tree lengths in -coalescents without a dust component from a sample of individuals. For the total length of all branches and the total length of all external branch…