Welcome new starters: John Haslegrave

Event Details

Opinion forming on random networks with community structure

In a general framework of Antunović, Mossel and Rácz, agents join a network and make an irrevocable decision between two options based on their neighbours. The relative popularity of each option always converges to a possibly random limit.

What if we impose a simple community structure on the network? Does the relative popularity necessarily synchronise between communities? This depends both on the community structure and how decisions are made.

I will start with an overview of the underlying network models and then discuss natural conditions that guarantee synchronisation, as well as situations where communities converge to different limits with positive probability, or fail to converge. This is based on joint work with Jonathan Jordan and Mark Yarrow (both Sheffield).