Prof. Dr. Johannes Bäumler

I am a junior professor for stochastics at the University of Koblenz. My research interests lie in discrete probability. In 2023, I obtained my PhD at TU Munich under the supervision of Noam Berger. After that, I was at UCLA for 2.5 years.

Mathematisches Institut Universität Koblenz Universitätsstraße 1 56070 Koblenz Germany
Research
Teaching
CV

History estimation in random recursive trees: Pointwise approach via iterated Jordan centralities. [arXiv]
With Simon Briend and Joost Jorritsma. Preprint (2026).

Correlated uniform attachment trees. [arXiv] [Talk (by Miki)]
With Miklós Z. Rácz, Nathan Ross, Anirudh Sridhar. Preprint (2026).

Invariance principles for rough walks in random conductances. [arXiv]
With Noam Berger, Tal Orenshtein, Martin Slowik. Preprint (2026).

A discontinuous percolation phase transition on the hierarchical lattice. [arXiv] [Talk]
With Tom Hutchcroft. Preprint (2025).

Permutations in competing growth processes and balls-in-bins. [arXiv]
With Tejas Iyer. Preprint (2025).

Local criteria for global connectivity comparisons: beyond stochastic domination. [arXiv]
With Benedikt Jahnel, Jonas Köppl, Bas Lodewijks, Lily Reeves, András Tóbiás. Preprint (2025).

Truncation of long-range percolation with non-summable interactions in dimensions d ≥ 3. [arXiv]
Accepted in Annales de l’Institut Henri Poincare (B) Probabilites et statistiques.

Continuity of the critical value and a shape theorem for long-range percolation. [arXiv]
Stochastic Processes and their Applications (2026).

The polynomial growth of the infinite long-range percolation cluster. [arXiv]
Accepted in Annales de l’Institut Henri Poincare (B) Probabilites et statistiques.

Recurrence and transience of symmetric random walks with long-range jumps. [arXiv]
Electronic Journal of Probability (2023).

Behavior of the distance exponent for 1/|x-y|^{2d} long-range percolation. [arXiv]
Electronic Journal of Probability, (2025).

Distances in |x-y|^{-2d} percolation models for all dimensions. [arXiv] [Talk]
Communications in Mathematical Physics (2023).

Superiority of Instantaneous Decisions in Thin Dynamic Matching Markets. [arXiv] [Talk (by Martin)]
With Martin Bullinger, Stefan Kober, and Donghao Zhu. Conference on Economics and Computation (2023).

Isoperimetric lower bounds for critical exponents for long-range percolation. [arXiv]
With Noam Berger. Annales de l’Institut Henri Poincare (B) Probabilites et statistiques (2024).

Uniqueness and non-uniqueness for spin-glass ground states on trees. [arXiv]
Electronic Journal of Probability (2019).