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math.PR2026
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…
math.PR2025
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…
math.PR2024
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…