Self-Similar Processes Follow a Power Law in Discrete Logarithmic Space

• Published in: Physical review letters Vol. 122; no. 15; p. 158303
• Main Authors: Newberry, Mitchell G, Savage, Van M
• Format: Journal Article
• Language: English
• Published: United States 19.04.2019

Cities, wealth, and earthquakes follow continuous power-law probability distributions such as the Pareto distribution, which are canonically associated with scale-free behavior and self-similarity. However, many self-similar processes manifest as discrete steps that do not produce a continuous scale...