6 citations · 9 across the 3 of their papers we have counts for
3 papers
math.PR2019
Poisson limit for the number of cycles in a random permutation and the number of segregating sites
Helmut H. Pitters, Philip Weissmann
Consider a random permutation of drawn according to the Ewens measure with parameter and let denote the number of its cycles…
math.PR2017★ 6 cited
On the number of segregating sites
Helmut H. Pitters
Consider a sample of size n drawn from a large, neutral population of haploid individuals subject to mutation whose genealogy is governed by Kingmans n-coalescent. Let Sn count the…
math.PR2015★ 3 cited
Absorption time and tree length of the Kingman coalescent and the Gumbel distribution
Martin Möhle, Helmut Pitters
Formulas are provided for the cumulants and the moments of the time back to the most recent common ancestor of the Kingman coalescent. It is shown that both the th cumulant…