Jean-Stéphane Dhersin

activity

19982021

most citedLarge graph limit for an SIR process in random network with heterogeneous connectivity

86 citations · 126 across the 10 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.PR2012

On the external branches of coalescents with multiple collisions

Jean-Stephane Dhersin, Martin Moehle

A recursion for the joint moments of the external branch lengths for coalescents with multiple collisions ( $Λ$ -coalescents) is provided. This recursion is used to derive asymptotic…

math.PR2012★ 8 cited

Asympotic behavior of the total length of external branches for Beta-coalescents

Jean-Stephane Dhersin, Linglong Yuan

We consider a $Λ$ -coalescent and we study the asymptotic behavior of the total length $L_{e x t}^{(n)}$ of the external branches of the associated $n$ -coalescent. For Kingman coalesc…

math.PR2012

On the length of an external branch in the Beta-coalescent

Jean-Stephane Dhersin, Fabian Freund, Arno Siri-Jegousse +1

In this paper, we consider Beta $(2 - α, α)$ (with $1 < α < 2$ ) and related $Λ$ -coalescents. If $T^{(n)}$ denotes the length of an external branch of the $n$ -coalescent, we prove the conve…