19 citations · 31 across the 5 of their papers we have counts for
6 papers
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 evolving in continuous time according to a skewed reproduction mechanism, which generates under neut…
The joint fluctuations of the lengths of the Beta-coalescents
Matthias Birkner, Iulia Dahmer, Christina S. Diehl +1
We consider Beta-coalescents with parameter range starting from leaves. The length of order in the -Beta-coalescent tree is d…
The total external length of the evolving Kingman coalescent
Iulia Dahmer, Götz Kersting
The evolving Kingman coalescent is the tree-valued process which records the time evolution undergone by the genealogies of Moran populations. We consider the associated process of…
The Kingman tree length process has infinite quadratic variation
Iulia Dahmer, Robert Knobloch, Anton Wakolbinger
In the case of neutral populations of fixed sizes in equilibrium whose genealogies are described by the Kingman -coalescent back from time consider the associated processes…
The internal branch lengths of the Kingman coalescent
Iulia Dahmer, Götz Kersting
In the Kingman coalescent tree the length of order is defined as the sum of the lengths of all branches that support leaves. For these branches are external, while fo…
The total external branch length of Beta-coalescents
Götz Kersting, Iulia Stanciu, Anton Wakolbinger
For we derive the asymptotic distribution of the total length of {\em external} branches of a Beta-coalescent as the number of leaves becomes large. It turns…