Buongiorno a tutti,

Vorremmo segnalarvi che venerdì prossimo (3 Ottobre) in aula 2AB40 (Torre Archimede, Università di Padova) ci sarà un seminario per il ciclo di seminari in Probabilità e Finanza di:

Simone Baldassarri (Gran Sasso Science Institute (GSSI)) https://sites.google.com/view/simonebaldassarri https://sites.google.com/view/simonebaldassarri Title: How opinions evolve on dense dynamic random graphs Date: October 3, 2025, at 14:30, 2AB40 Abstract: Describing the evolution of dynamic networks together with dynamic processes running on them constitutes a major challenge in network science. Despite considerable efforts in past years, and notable progress on an intuitive and approximative level, our mathematical understanding of such systems is still in its infancy. The focus of this talk will be two-opinion voter models on dense dynamic random graphs. The goal is to understand and describe the occurrence of consensus versus polarisation over long periods of time. The former means that all vertices have the same opinion, the latter means that the vertices split into two communities with different opinions and few disagreeing edges. We consider three models for the joint dynamics of opinions and graphs: one with one-way feedback and two with two-way feedback. Key results cover functional laws of large numbers for the densities of the two opinions, functional laws of large numbers for the dynamic random graphs in the space of graphons, and a characterisation of the limiting densities in terms of Beta-distributions. This talk is based on a joint work with P. Braunsteins, F. den Hollander and Michel Mandjes.

Vi aspettiamo numerosi!

Alberto Chiarini e Alekos Cecchin

Sito web del seminario: https://www.math.unipd.it/~chiarini/seminars/