Friday, March 18, 2005, 1:30 pm — Small Seminar Room, Bldg. 510
Avalanche dynamics, triggered by small initial perturbation, but spreading over to the system in a causal
successive manner, is one of intriguing problems in complex systems. In this talk, such dynamics on scale-free networks will be investigated through a number of examples, which include the Bak-Tang-Wiesenfeld sandpile model, the information cascade model by Watts, and the Boolean cascade model of metabolic blockade. We derive the criticality condition and the power-law exponent of the avalanche size distribution within the mean-field treatment. Also we consider the Internet overload breakdown model by Motter and Lai and show there exists a phase-transition-like behavior in the avalanche size distribution in the model.
This talk is based on the works done in collaboration with
D.-S. Lee, E. J. Lee, C.-M. Ghim, B. Kahng, and D. Kim at SNU.
Hosted by: Sergei Maslov
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