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math.PR2021
Convergence of the height process of supercritical Galton-Watson forests with an application to the configuration model in the critical window
Serte Donderwinkel
We show joint convergence of the Lukasiewicz path and height process for slightly supercritical Galton-Watson forests. This shows that the height processes for supercritical contin…
math.PR2021★ 3 cited
Universality for the directed configuration model: metric space convergence of the strongly connected components at criticality
Serte Donderwinkel, Zheneng Xie
We consider the strongly connected components (SCCs) of a uniform directed graph on vertices with i.i.d. in- and out-degree pairs distributed as , with $\mathbb E[D^…