New critical and collective phenomena in exponential graphs

Speaker: Alexander Gorsky (Moscow Institute of Physics and Technology, Russia)

Abstract:

I will discuss new critical and collective phenomena found recently for the different ensembles of exponential networks. In particular the network clusterization transition induced by 3-cycles as well as the phase transitions induced by the triads which amount to synchronization and bipartiteness will be explained for the multilayer networks. The phenomena of the spontaneous symmetry breaking in the multilayer networks will be demonstrated. I shall describe the possible application of generalized Schelling model for the social dynamics.