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math.PR2026
Renormalisation of Inhomogeneous Random Graphs
Luca Avena, Diego Garlaschelli, Rajat Subhra Hazra +1
We consider inhomogeneous random graphs in which vertices are assigned i.i.d.\ random weights, pairs of distinct vertices are connected by an edge independently with a probability…
math.PR2026
Clustering without geometry in sparse networks with independent edges
Alessio Catanzaro, Remco van der Hofstad, Diego Garlaschelli
The coexistence of sparsity and clustering (non-vanishing average fraction of triangles per node) is one of the few structural features that, irrespective of finer details, are ubi…
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…