3 papers
math.PR2026
Spectrum of Directed Inhomogeneous Random Graphs
Rajat Subhra Hazra, Giacomo Passuello
We study the spectrum of the adjacency matrix of directed inhomogeneous random graphs on vertices. We assume that has independent entries and diverging average degr…
math.PR2025
A standard CLT for triangles in a class of ERGs
Elena Magnanini, Giacomo Passuello
We prove a standard Central Limit Theorem for the (normalized) number of triangles in a class of Exponential Random Graphs derived from a slight modification of the edge-triangle m…
math.PR2025
Mixing trichotomy for random walks on directed stochastic block models
Alessandra Bianchi, Giacomo Passuello, Matteo Quattropani
We consider a directed version of the classical Stochastic Block Model with communities and a parameter controlling the inter-community connectivity. We show that, dep…