3 papers
cs.SI2025
A Phase Transition for Opinion Dynamics with Competing Biases
Federico Capannoli, Emilio Cruciani, Hlafo Alfie Mimun +1
We study a nonlinear dynamics of binary opinions in a population of agents connected by a directed network, influenced by two competing forces. On the one hand, agents are stubborn…
math.PR2025
Voter model on heterogeneous directed networks
Luca Avena, Federico Capannoli, Diego Garlaschelli +1
We investigate the consensus dynamics of the voter model on large random graphs with heterogeneous and directed features, focusing in particular on networks with power-law degree d…
math.PR2024
Interacting Particle Systems on Random Graphs
F. Capannoli, F. den Hollander
The present overview of interacting particle systems on random graphs collects the notes of a mini-course given by the authors at the Brazilian School of Probability, 5--9 August 2…