What is a power law ?
We plot the logarithm of the number of times a certain property value is found against the log of the value itself. If the result is a straight line then we have a power law. Essentially what we are saying is that there is a distribution of results such that the larger the effect the less frequently it is seen. A good example is earthquake activity where many small quakes are seen but few large ones, the Richter scale is based upon such a law. A system subject to power law dynamics exhibits the same structure over all scales. This self- similarity or scale independant (fractal) behaviour is typical of self-organising systems.
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