糖心TV Complexity Science Events
Complexity Centre and MathSys CDT events carry priority over room D1.07.
To book D1.07 please email Sheetal dot Sharma at warwick dot ac dot uk
Please note that your event booking is for D1.07 only. The adjacent common room is a private area for the MathSys Centre that cannot used as part of your booking.
Complexity Forum: Tiago Pereira (Imperial College)
Speaker: Tiago Pereira (Imperial College)
Title: Dynamics in heterogeneous networks: emergence at various scales
Abstract: Recent results reveal that typical real-world networks have various levels of connectivity. These networks exhibit emergent behaviour at various levels. For instant, massively connected nodes can synchronise, while less connected nodes do not. Striking examples are found in the brain, where synchronisation between highly connected neurons coordinate and shape the network development. These phenomena remain a major challenge. I will discuss a probabilistic dimension reduction principle to describe the network dynamics. I show that, at large levels of connectivity, the high-dimensional network dynamics can be reduced to a few macroscopic equations. The strategy is to describe ensembles of random networks, and the dynamics almost every initial state. Thereby, I can ignore pathological behaviours that have zero chance to appear and obtain almost sure results. This reduction provides the opportunity to explore the coherent properties at various network connectivity scales. This is a joint work with Sebastian van Strien and Jeroen Lamb.