Johannes Bäumler

activity

20222026

most citedRecurrence and transience of symmetric random walks with long-range jumps

6 citations · 16 across the 7 of their papers we have counts for

collaborators

9 papers

math.RT2026

Standardly stratified structures from tilting modules

Mayu Tsukamoto

Characteristic tilting modules play a central role in the theory of standardly stratified algebras, for instance in Ringel duality. They are constructed from the standard modules,…

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…

math.PR2023

Continuity of the critical value and a shape theorem for long-range percolation

Johannes Bäumler

Consider supercritical long-range percolation on $Z^{d}$ where two vertices $x, y \in Z^{d}$ are connected with probability asymptotic to $∥ x - y ∥^{- s}$ for some $s > 2 d$ . Conditioned t…

math.PR2022★ 6 cited

Recurrence and transience of symmetric random walks with long-range jumps

Johannes Bäumler

Let $X_{1}, X_{2}, \dots$ be i.i.d. random variables with values in $Z^{d}$ satisfying $\mathbb{P} \left(X_1=x\right) = \mathbb{P} \left(X_1=-x\right) = Θ\left(\|x\|^{-s}\right…

math.PR2022★ 6 cited

Distances in $\frac{1}{∣ x - y ∣ ^{2 d}}$ percolation models for all dimensions

Johannes Bäumler

We study independent long-range percolation on $Z^{d}$ for all dimensions $d$ , where the vertices $u$ and $v$ are connected with probability 1 for $∥ u - v ∥_{\infty} = 1$ and wit…

math.PR2022★ 2 cited

Behavior of the distance exponent for $\frac{1}{∣ x - y ∣ ^{2 d}}$ long-range percolation

Johannes Bäumler

We study independent long-range percolation on $Z^{d}$ where the vertices $u$ and $v$ are connected with probability asymptotic to $\frac{β}{∥ u - v ∥ ^{2 d}}$ for $\|u-v\|_\infty…

cs.DS2022

Superiority of Instantaneous Decisions in Thin Dynamic Matching Markets

Johannes Bäumler, Martin Bullinger, Stefan Kober +1

We study a dynamic matching setting where homogeneous agents arrive at random according to a Poisson process and randomly form edges yielding a sparse market. Agents stay in the ma…

math.PR2022★ 2 cited

Isoperimetric lower bounds for critical exponents for long-range percolation

Johannes Bäumler, Noam Berger

We study independent long-range percolation on $Z^{d}$ where the vertices $x$ and $y$ are connected with probability $1 - e^{- β ∥ x - y ∥^{- d - α}}$ for $α > 0$ . Provided the critic…

Standardly stratified structures from tilting modules

On the largest common subtree of uniform attachment trees

Recurrence of strong-decay inhomogeneous long-range percolation clusters

Continuity of the critical value and a shape theorem for long-range percolation

Recurrence and transience of symmetric random walks with long-range jumps

Distances in ∣x−y∣2d1​ percolation models for all dimensions

Behavior of the distance exponent for ∣x−y∣2d1​ long-range percolation

Superiority of Instantaneous Decisions in Thin Dynamic Matching Markets

Isoperimetric lower bounds for critical exponents for long-range percolation

Distances in $\frac{1}{∣ x - y ∣ ^{2 d}}$ percolation models for all dimensions

Behavior of the distance exponent for $\frac{1}{∣ x - y ∣ ^{2 d}}$ long-range percolation