Seminar "Opinion Dynamics on Signed Graphons and W-random Graphs" - Paolo Frasca, CNRS
Wednesday, July 23, 12:00, in Aula Buzano DISMA
Seminar by Professor Paolo Frasca, CNRS
Opinion Dynamics on Signed Graphons and W-random Graphs
Abstract: In this talk I will discuss some ongoing work on Laplacian-based opinion dynamics on large networks. We will consider large, possibly signed, graphs and “consensus-like” dynamics that are defined by the Laplacian of the graph. In the limit, as the size goes to infinity, we will consider (signed) graphons with their associated Laplacian operators and the corresponding dynamics. Our results show the consistency between discrete and continuous representations under very mild regularity assumptions.
Biography: Paolo Frasca received his Ph.D. from Politecnico di Torino, Turin, Italy, in 2009. From 2013 to 2016, he was an Assistant Professor at the University of Twente, Enschede, Netherlands. Since October 2016, he has been a CNRS Researcher at GIPSA-Lab, Grenoble, France. Since 2021, he has led the “Dynamics and Control of Networks” (DANCE) joint research team at GIPSA-Lab and the Inria Centre at the University of Grenoble Alpes.
His research interests include the theory of control systems and networks, with current applications in transportation and social networks. On these topics, he has authored over 60 journal publications and the book Introduction to Averaging Dynamics Over Networks (with F. Fagnani, 2017). Additionally, he has served as Associate Editor for several conferences and journals, including the International Journal of Robust and Nonlinear Control, IEEE Control Systems Letters, Asian Journal of Control, and Automatica.