22 citations · 99 across the 25 of their papers we have counts for
30 papers
Noise sensitivity in last-passage percolation
Daniel Ahlberg, Malo Hillairet, Ekaterina Toropova
The study of noise sensitivity of Boolean functions was initiated in a seminal paper of Benjamini, Kalai and Schramm, published in 1999. While this study has revealed fascinating p…
Annihilating branching Brownian motion
Daniel Ahlberg, Omer Angel, Brett Kolesnik
We study an interacting system of competing particles on the real line. Two populations of positive and negative particles evolve according to branching Brownian motion. When oppos…
Is 'being above the median' a noise sensitive property?
Daniel Ahlberg, Daniel de la Riva
Assign independent weights to the edges of the square lattice, from the uniform distribution on for some . The weighted graph induces a random metric on $\m…
From stability to chaos in last-passage percolation
Daniel Ahlberg, Maria Deijfen, Matteo Sfragara
We study the transition from stability to chaos in a dynamic last passage percolation model on with random weights at the vertices. Given an initial weight configura…
Chaos, concentration and multiple valleys in first-passage percolation
Daniel Ahlberg, Maria Deijfen, Matteo Sfragara
A decade and a half ago Chatterjee established the first rigorous connection between anomalous fluctuations and a chaotic behaviour of the ground state in certain Gaussian disorder…
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…