# Scaling behavior Levy flight (distance from the origin v number of steps)

In the question

the implementation of a Levy-flight random walk with Matlab was discussed.

For a classical random walk (Brownian motion), we have that the distance from the origin of the walk ($$D$$) scales as the square root of the number of steps (N): $$D \sim N^{1/2}$$. What is the analogous result for $$\alpha$$-Levy flights?