The joint fluctuations of the lengths of the Beta$(2-\alpha ,\alpha )$-coalescents

Matthias Birkner, Iulia Dahmer, Christina S. Diehl +1

We consider Beta$(2-\alpha ,\alpha )$-coalescents with parameter range $1<\alpha <2$ starting from $n$ leaves. The length ${\ell }_r^{(n)}$ of order $r$ in the $n$-Beta$(2-\alpha ,\alpha )$-coalescent tree is d…