The distributions of a wide variety of physical, biological, and human-made phenomena approximately follow a power law over a wide range of magnitudes: these include the sizes of craters on the moon See more

In a looser sense, a power-law probability distribution is a distribution whose density function (or mass function in the discrete case) has the form, … See more

• Fat-tailed distribution
• Heavy-tailed distributions
• Hyperbolic growth See more

• Zipf, Power-laws, and Pareto – a ranking tutorial Archived 2007-10-26 at the Wayback Machine
• Stream Morphometry and Horton's Laws See more

Scale invariance
One attribute of power laws is their scale invariance. Given a relation $${\displaystyle f(x)=ax^{-k}}$$, scaling the argument See more

Scientific interest in power-law relations stems partly from the ease with which certain general classes of mechanisms generate them. The … See more

Although power-law relations are attractive for many theoretical reasons, demonstrating that data does indeed follow a power-law … See more