4 papers · 1 filter
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…
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…
Evolution of discordant edges in the voter model on random sparse digraphs
Federico Capannoli
We explore the voter model dynamics on a directed random graph model ensemble (digraphs), given by the Directed Configuration Model. The voter model captures the evolution of opini…
Meeting, coalescence and consensus time on random directed graphs
Luca Avena, Federico Capannoli, Rajat Subhra Hazra +1
We consider Markovian dynamics on a typical realization of the so-called Directed Configuration Model (DCM), that is, a random directed graph with prescribed in- and out-degrees. I…