10 papers
History estimation in random recursive trees: Pointwise approach via iterated Jordan centralities
Johannes Bäumler, Simon Briend, Joost Jorritsma
We study the problem of estimating the arrival times of vertices in a uniform random recursive tree from its unlabeled structure. We adopt a pointwise perspective and analyze the d…
Correlated uniform attachment trees
Johannes Bäumler, Miklós Z. Rácz, Nathan Ross +1
We introduce and study a new model of correlated uniform attachment (UA) trees, where correlation is sprinkled throughout the time evolution of the process. In this model, two UA t…
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…
Invariance principles for rough walks in random conductances
Johannes Bäumler, Noam Berger, Tal Orenshtein +1
We establish annealed and quenched invariance principles for random walks in random conductances lifted to the p-variation rough path topology, allowing for degenerate environments…
Local criteria for global connectivity comparisons: beyond stochastic domination
Johannes Bäumler, Benedikt Jahnel, Jonas Köppl +3
We introduce a site-wise domination criterion for local percolation models, which enables the comparison of one-arm probabilities even in the absence of stochastic domination. The…
A discontinuous percolation phase transition on the hierarchical lattice
Johannes Bäumler, Tom Hutchcroft
For long-range percolation on with translation-invariant edge kernel , it is a classical theorem of Aizenman and Newman (1986) that the phase transition is disconti…