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2007 2003 2000

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title      = "An interaction model on random networks: 
              from social to airports networks",
author     = "Philippe Curty",
abstract   = "Social movements, neurons in the brain 
              or even industrial suppliers are best described by agents 
              evolving on networks with basic interaction rules. In these 
              real systems, the connectivity between agents corresponds to the 
              a critical state 
              of the system related to the 
              of the system. The new idea is that 
              connectivity adjusts itself because of two opposite tendencies: on 
              the one hand informations percolation is better when the 
              network connectivity is small but all agents have rapidely 
              the same state and the dynamics stops. On the 
              other hand, when agents have a large connectivity, the 
              state of a node (opinion of a person, 
              of a neuron, ...) tends to freeze: agents find 
              always a minority among their neighbours to support their 
              state. The model introduced here captures this essential feature 
              showing a clear transition between the two tendencies at 
              some critical connectivity. Depending on the noise, the dynamics 
              of the system can only take place at a 
              precise critical connectivity since, away from this critical point, 
              the system remains in a static phase. When the 
              noise is very small, the critical connectivity becomes very 
              large, and highly connected networks are obtained like the 
              airports network and the Internet. This model may be 
              used as a starting point for understanding the evolution 
              of agents living on networks.",
status     = "preprint",
year       = "2007"