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BP: Fachverband Biologische Physik

BP 6: Networks: From Topology to Dynamics I (Joint Session SOE/DY/BP)

BP 6.2: Talk

Monday, March 7, 2016, 10:15–10:30, H36

Theory and experiments on anomalous critical and supercritical connectivity transitions — •Jan Nagler — ETH Zurich

The emergence of large-scale connectivity on an underlying network or lattice, the so-called percolation transition, has a profound impact on the system's macroscopic behaviours. There is thus great interest in controlling the location of the percolation transition to either enhance or delay its onset and, more generally, in understanding the consequences of such control interventions. Here we report on the sudden emergence of large-scale connectivity that results from repeated, small interventions designed to delay the percolation transition. These transitions exhibit drastic, unanticipated and sometimes exciting consequences in complex networked systems but also pose experimental challenges. In particular, I will report on both theoretical and experimental progress (D'Souza & Nagler, Nature Physics 11:531, 2015; Nagler et al., unpublished).