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Seminar
Sparse random graphs with unusually large subgraph counts
Speaker
Amir Dembo (Stanford)
Date
Fri, Apr 14 2023, 3:15pm
Location
384H
In this talk, based on joint works with Nicholas Cook, Huy Tuan Pham and Sohom Bhattacharya, I will discuss recent developments in the study of the upper tails for counts of several fixed subgraphs in a large sparse random graph (such as Erdős–Rényi or uniformly d- regular). These results allow in turn to determine the typical structure of samples from an associated class of Gibbs measures, known as Exponential Random Graph Models, which are widely used in the analysis of social networks.