Johannes Bäumler
Johannes Bäumler
I am a Hedrick Assistant Adjunct Professor at the University of California, Los Angeles. My research interests lie in discrete probability. In 2023, I obtained my PhD at the Technical University of Munich under the supervision of Noam Berger.
I am an organizer of the LA Probability Forum.
Mail: jbaeumler at math dot ucla dot edu
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]
Preprint (2023).
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 1/|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).