In the last 15 years, SOC turned out to be a powerful concept for elucidating the occurrence of fractal distributions in dynamic systems. Therefore, we may be tempted to look for SOC whenever fractals or fractal distributions occur. However, we should be aware that SOC is just one mechanism for explaining scale invariance. It is perhaps the most interesting one because it is still poorly understood, and perhaps even that with the widest field of applications. Nevertheless, there are numerous other mechanisms for generating fractals; in Sect. 1.6 we have already discussed fragmentation being one of the most prominent examples; several other concepts are discussed in the book of Sornette (2000).
KeywordsScale Invariance Pareto Distribution Fractal Distribution Trigger Cell Fire Break
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