Lévy Flight

anomalous diffusion with power-law step lengths

Parameters

Steps: 0 | Max jump: 0

About

A Lévy flight is a random walk where step lengths follow a heavy-tailed power-law distribution P(r) ~ r^(-1-α). For α < 2, the variance is infinite — occasional enormous jumps dominate. At α = 2 it approaches Brownian motion. At α = 1 (Cauchy), jumps can span the entire canvas. Lévy flights describe animal foraging, financial returns, internet traffic, and earthquake epicenters.