Dresden 2011 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 13: Networks: From Topology to Dynamics I (with BP, DY)
SOE 13.1: Invited Talk
Wednesday, March 16, 2011, 10:15–10:45, GÖR 226
Impact of Single Links in Growing Networks — •Jan Nagler1,2 and Marc Timme1,2,3 — 1Max Planck Institute for Dynamics and Self-Organization, Göttingen — 2Institute for Nonlinear Dynamics, Faculty of Physics, University of Göttingen — 3Bernstein Center for Computational Neuroscience (BCCN) Göttingen
How a complex network is connected crucially impacts its dynamics and function. Until recently, random percolation processes were thought to exhibit continuous transitions in general. Numerical evidence for discontinuous changes of the order parameter in certain percolation processes, however, has triggered an ongoing scientific controversy about the conditions for discontinuous phase transitions in percolation [Achlioptas, D'Souza, and Spencer, Science 323, 1453 (2009); Nagler, Levina, and Timme, Nature Physics, in press; see also references therein.]. We study both numerically and analytically under which conditions certain "competitive" percolation processes exhibit macroscopic jumps in the order parameter.