Federica Garin (Université Grenoble Alpes)

Title: Graphons and opinion dynamics on large graphs.

Abstract:

Graphons are the limits of large dense graphs. Graphons can also be used to define families of random graphs (the so-called W-random graphs), similar to Erdős-Rényi random graphs but with some inhomogeneity in the edge probabilities.

Graphons and W-random graphs, together with their signed counterparts, can be useful tools to study opinion dynamics on large-scale networks.

In this talk, I will review some recent work in this direction, where we explore some infinite-dimensional dynamics associated with the graphon, and we study how well they can approximate the corresponding dynamics associated with finite but large W-random graphs.

This seminar will take place in Room S08 at the Faculty of Sciences.