External branch lengths of $\Lambda $-coalescents without a dust component

  title={External branch lengths of \$\Lambda \$-coalescents without a dust component},
  author={Christina S. Diehl and G{\"o}tz Kersting},
  journal={Electronic Journal of Probability},
$\Lambda$-coalescents model genealogies of samples of individuals from a large population by means of a family tree whose branches have lengths. The tree's leaves represent the individuals, and the lengths of the adjacent edges indicate the individuals' time durations up to some common ancestor. These edges are called external branches. We consider typical external branches under the broad assumption that the coalescent has no dust component, and maximal external branches under further… 

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