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math.PR2026
On the largest common subtree of uniform attachment trees
Johannes Bäumler, Céline Kerriou, Bas Lodewijks +4
We study the largest common subtree of two independent unlabeled uniform attachment trees (also known as random recursive trees). Our main result shows that, when the two trees hav…
math.PR2026
Recurrence of strong-decay inhomogeneous long-range percolation clusters
Johannes Bäumler, Lukas Lüchtrath, Christian Mönch
We prove recurrence criteria for inhomogeneous long-range percolation in dimensions one and two. In dimension one, recurrence follows from a purely geometric scarcity condition: lo…