4 papers · 1 filter
Colorful Exponential Random Graph Models
Bhaswar B. Bhattacharya, Pierfrancesco Dionigi, Ankan Ganguly +1
In this paper, we initiate the study of colored exponential random graph models (ERGMs), a class of exponential-family models for networks with multiple types of edge relations. Us…
Large deviations for probability graphons
Pierfrancesco Dionigi, Giulio Zucal
We establish a large deviation principle (LDP) for probability graphons, which are symmetric functions from the unit square into the space of probability measures. This notion exte…
The effects of initial conditions on the accuracy of mean-field approximations of Markov processes on large random graphs
Pierfrancesco Dionigi, Dániel Keliger
We study the evolution of a general class of stochastic processes (containing, e.g. SIS and SIR models) on large random networks, focusing on a particular general class of random g…
Largest Eigenvalue of the Configuration Model and Breaking of Ensemble Equivalence
Pierfrancesco Dionigi, Diego Garlaschelli, Rajat Subhra Hazra +1
We analyse the largest eigenvalue of the adjacency matrix of the configuration model with large degrees, where the latter are treated as hard constraints. In particular, we compute…