See also Scale-free networks

Scanned Notes on Power Laws

A power law distribution for $k$ has the form:

$p_k=Ck^{-\alpha}$

where $\alpha$ is the exponent,

Normalization of power laws

Moments of power laws

Lorenz curves for power law distributions

Zipf, Power-laws, and Pareto - a ranking tutorial

http://www.necsi.edu/guide/concepts/powerlaw.html

Similarity of Symbol Frequency Distributions with Heavy Tails

Top-heavy distributions

Power laws often mean that rare events are more likely that one could have thought, because the tail "dies off" more slowly than in, say exponential distributions, like Gaussians

More on power laws

Power Law Distributions, 1/f Noise, Long-Memory Time Series

Power-law distributions in empirical data

Similarity of Symbol Frequency Distributions with Heavy Tails