Serte Donderwinkel

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20212026

most citedUniversality for the directed configuration model: metric space convergence of the strongly connected components at criticality

3 citations · 6 across the 21 of their papers we have counts for

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math.CO2021★ 1 cited

The Foata-Fuchs proof of Cayley's formula, and its probabilistic uses

Louigi Addario-Berry, Serte Donderwinkel, Mickaël Maazoun +1

We present a very simple bijective proof of Cayley's formula due to Foata and Fuchs (1970). This bijection turns out to be very useful when seen through a probabilistic lens; we ex…

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 $n$ vertices with i.i.d. in- and out-degree pairs distributed as $(D^{-}, D^{+})$ , with $\mathbb E[D^…