4 datasets found

In this paper, we consider Beta$(2-{\alpha},{\alpha})$ (with $1<{\alpha}<2$) and related ${\Lambda}$-coalescents. If $T^{(n)}$ denotes the length of an external...

The purpose of the dissertation is to study stochastic coalescent processes modelling the genealogy of an exchangeable population with immigration. We represent the...

29 pages, accepted to the Illinois Journal of Mathematics.

We consider a ${\Lambda}$-coalescent and we study the asymptotic behavior of the total length $L^{(n)}_{ext}$ of the external branches of the associated...