Matthias Winkel

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math.PR2026

Mass erasure on measured $R$ -trees, applications to Lévy forests

Thomas Duquesne, Matthias Winkel

Let $h > 0$ . For a complete and separable $R$ -tree $(T, d)$ equipped with a root $ρ$ and a finite Borel measure $μ$ , we define the $h$ -mass-erased tree by removing from $T$ a…

math.PR2025

Up-down ordered Chinese restaurant processes with two-sided immigration, emigration and diffusion limits

Quan Shi, Matthias Winkel

We establish scaling limit theorems for the up-down ordered Chinese restaurant processes (oCRPs) of Rogers and Winkel as processes in a space of interval partitions. As previously…

Mass erasure on measured R-trees, applications to Lévy forests

Up-down ordered Chinese restaurant processes with two-sided immigration, emigration and diffusion limits

Mass erasure on measured $R$ -trees, applications to Lévy forests