Collective Dynamics in Heterogeneous Random Networks
Recent experiments show that heterogeneous networks exhibit non-global
synchronization, that is, massively connected nodes synchronise while
less connected nodes do not. Striking examples are found in the brain.
Indeed, synchronisation between highly connected neurons, called hub
neurons, coordinate and shape development in hippocampal networks. A
theory for non-global synchronisation in heterogeneous networks
remains a major challenge. I will discuss a probabilistic approach
towards the explanation of this phenomenon in the limit
networks of large random networks.