3 papers
math.PR2026
Surviving from the tip of a cone in competing first-passage percolation
Daniel Ahlberg, Maria Deijfen, Matteo Sfragara
In two-type first passage percolation on , two entities compete to capture the sites of the lattice. The entities spread between nearest neighbor sites at times speci…
math.PR2026
The Ising Model on a Two-Community Stochastic Block Model
Alessandra Bianchi, Vanessa Jacquier, Matteo Sfragara
We study the Ising model on a two-community stochastic block model, where spins are split into two equal groups with inter-community interaction parameter . We pr…
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…