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math.PR2021
The GHS and other correlation inequalities for the two-star model
Alessandra Bianchi, Francesca Collet, Elena Magnanini
We consider the two-star model, a family of exponential random graphs indexed by two real parameters, and , that rule respectively the total number of edges and the mutual d…
math.PR2021
Limit theorems for exponential random graphs
Alessandra Bianchi, Francesca Collet, Elena Magnanini
We consider the edge-triangle model, a two-parameter family of exponential random graphs in which dependence between edges is introduced through triangles. In the so-called replica…