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DY: Fachverband Dynamik und Statistische Physik

DY 15: Focus Session: Large Deviations and Rare Events II

DY 15.9: Vortrag

Montag, 9. März 2026, 17:30–17:45, ZEU/0114

Probability graphons and large deviations for random weighted graphs — •Giulio Zucal — Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany — Max Planck Institute for Physics of Complex Systems, Dresden, Germany — Center for Systems Biology Dresden, Dresden, Germany

Graph limit theory studies the convergence of sequences of graphs as the number of vertices grows, providing an effective framework for representing large networks. In this talk, I will give a brief introduction to graph limits and report on recent extensions to weighted graphs and multiplex networks (probability graphons and P-variables). As an application of this theory I will present a large deviation principle (LDP) for random weighted graphs that generalizes the LDP for Erdős–Rényi random graphs by Chatterjee and Varadhan (2011), based on joint work with Pierfrancesco Dionigi.

Keywords: large deviations; random graphs; multiplex networks; graph limits; graphons