6 citations · 16 across the 7 of their papers we have counts for
8 papers
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…
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…
Continuity of the critical value and a shape theorem for long-range percolation
Johannes Bäumler
Consider supercritical long-range percolation on where two vertices are connected with probability asymptotic to for some . Conditioned t…
Recurrence and transience of symmetric random walks with long-range jumps
Johannes Bäumler
Let be i.i.d. random variables with values in satisfying $\mathbb{P} \left(X_1=x\right) = \mathbb{P} \left(X_1=-x\right) = Θ\left(\|x\|^{-s}\right…
Distances in percolation models for all dimensions
Johannes Bäumler
We study independent long-range percolation on for all dimensions , where the vertices and are connected with probability 1 for and wit…
Behavior of the distance exponent for long-range percolation
Johannes Bäumler
We study independent long-range percolation on where the vertices and are connected with probability asymptotic to for $\|u-v\|_\infty…