3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.PR2022★ 1 cited
The number of geodesics in planar first-passage percolation grows sublinearly
Daniel Ahlberg, Jack Hanson, Christopher Hoffman
We study a random perturbation of the Euclidean plane, and show that it is unlikely that the distance-minimizing path between the two points can be extended into an infinite distan…
math.PR2015★ 3 cited
Quenched Voronoi percolation
Daniel Ahlberg, Simon Griffiths, Robert Morris +1
We prove that the probability of crossing a large square in quenched Voronoi percolation converges to 1/2 at criticality, confirming a conjecture of Benjamini, Kalai and Schramm fr…
math.PR2014
A temporal perspective on the rate of convergence in first-passage percolation under a moment condition
Daniel Ahlberg
We study the rate of convergence in the Shape Theorem of first-passage percolation, obtaining the precise asymptotic rate of decay for the probability of linear order deviations un…