In the case of neutral populations of fixed sizes in equilibrium whose genealogies are described by the Kingman N-coalescent back from time t consider the associated processes of total tree length as… Expand

In the Kingman coalescent tree the length of order $r$ is defined as the sum of the lengths of all branches that support $r$ leaves. For $r=1$ these branches are external, while for $r\ge2$ they are… Expand

The evolving Kingman coalescent is the tree-valued process which records the time evolution undergone by the genealogies of Moran populations. We consider the associated process of total external… Expand

It turns out that the fluctuations of the external branch length follow those of τn2−α over the entire parameter regime, where τn denotes the random number of coalescences that bring the n lineages down to one.Expand

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

We consider Beta(2− α, α)-coalescents with parameter range 1 < α < 2 starting from n leaves. The length l (n) r of order r in the n-Beta(2 − α, α)-coalescent tree is defined as the sum of the lengths… Expand

9:00–9:30 Registration 9:30 Welcome 9:30–10:20 Vlada Limic A zoom into exchangeable coalescents viewed on fine scales at small times 10:20–11:00 Coffee/Tea 11:00–11:30 Bjarki Eldon Statistical… Expand