2 citations · 2 across the 7 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
Permutations in competing growth processes and balls-in-bins
Johannes Bäumler, Tejas Iyer
Consider a model of independent, increasing -valued processes, with random, independent waiting times between jumps. It is known that there is either an emergent…
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…
Truncation of long-range percolation with non-summable interactions in dimensions
Johannes Bäumler
Consider independent long-range percolation on for . Assuming that the expected degree of the origin is infinite, we show that there exists an $N\in \mathbb…
The polynomial growth of the infinite long-range percolation cluster
Johannes Bäumler
We study independent long-range percolation on where the nearest-neighbor edges are always open and the probability that two vertices with are conn…
Uniqueness and Non-Uniqueness for Spin-Glass Ground States on Trees
Johannes Bäumler
We consider a Spin Glass at temperature where the underlying graph is a locally finite tree. We prove for a wide range of coupling distributions that uniqueness of ground s…