15 citations · 15 across the 4 of their papers we have counts for
4 papers
Probabilistic aspects of -coalescents in equilibrium and in evolution
Götz Kersting, Anton Wakolbinger
We present approximation methods which lead to law of large numbers and fluctuation results for functionals of -coalescents, both in the dust-free case and in the case with a du…
The evolving beta coalescent
Götz Kersting, Jason Schweinsberg, Anton Wakolbinger
In mathematical population genetics, it is well known that one can represent the genealogy of a population by a tree, which indicates how the ancestral lines of individuals in the…
Total internal and external lengths of the Bolthausen-Sznitman coalescent
Götz Kersting, Juan Carlos Pardo, Arno Siri-Jégousse
In this paper, we study a weak law of large numbers for the total internal length of the Bolthausen-Szmitman coalescent. As a consequence, we obtain the weak limit law of the cente…
Branching processes in random environment which extinct at a given moment
C. Boeinghoff, E. E. Dyakonova, G. Kersting +1
Let be a critical branching process in random environment and let be its moment of extinction. Under the annealed approach we prove, as a lim…