Example of a 2D density field derived from a 2D levy flight. Parameters of the flight are α = 1., ℓ₀ = 0.012 pixel size with ten points per pixel. The sample has periodic boundary conditions with 200² pixels. The initial discrete (point) field has been convolved with a Gaussian window function of width of 2 (in pixel size) in each direction. The resulting variance as measured in the sample is 1.56. On the plot, the contour lines are log-spaced, from density of about 0.2–7. The deep blue regions correspond to empty regions.