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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.PR2022
Multi-colour competition with reinforcement
Daniel Ahlberg, Carolina Fransson
We study a system of interacting urns where balls of different colour/type compete for their survival, and annihilate upon contact. For competition between two types, the underlyin…