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DY: Fachverband Dynamik und Statistische Physik
DY 29: Statistical physics of complex networks
DY 29.4: Vortrag
Freitag, 27. März 2009, 11:00–11:15, ZEU 255
Critical Boolean networks with scale-free in-degree distribution — •Florian Greil — Institut für Festkörperphysik, Technische Universität Darmstadt, Germany
We investigate analytically and numerically critical Boolean networks with power-law in-degree distributions. When the exponent of the in-degree distribution is larger than 3, we obtain the same results as for networks with fixed in-degree, e.g., that the number of the non-frozen nodes scales as N2/3 with the system size N. When the exponent of the distribution is between 2 and 3, the number of the non-frozen nodes increases as Nx, with x being between 0 and 2/3 and depending on the exponent and on the cutoff of the in-degree distribution. Our results explain various results obtained earlier by computer simulations.