Helmut H. Pitters

activity

20152019

collaborators

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 ${1, \dots, ⌊ n^{t_{2}} ⌋}$ drawn according to the Ewens measure with parameter $t_{1}$ and let $K (n, t)$ denote the number of its cycles…

math.PR2016

Lifting linear preferential attachment trees yields the arcsine coalescent

Helmut H. Pitters

We consider linear preferential attachment trees which are specific scale-free trees also known as (random) plane-oriented recursive trees. Starting with a linear preferential atta…

math.PR2015

A Spectral decomposition for the Bolthausen-Sznitman coalescent and the Kingman coalescent

Jonas Kukla, Helmut H. Pitters

We consider both the Bolthausen-Sznitman and the Kingman coalescent restricted to the partitions of ${1, \dots, n} .$ Spectral decompositions of the corresponding generators are…