Top panel: Measured correlation function for Lévy flights with α = 1.5, ℓ₀ = 0.02 (red points and error bars). The dashed blue line is the expected large r ≫ ℓ₀ behaviour ζ(r)∼r^α − D, but the actual dependence is slightly steeper, with an effective measured power law α ≃ 1.43 (solid blue line). Bottom panel: Measured Skewness 𝒮₃ from Lévy flights with different ξ₀ variances (red points and error bars) with α = 3/2. The error bars correspond to the error on the mean from N_real = 100 realisations each. The BMF prediction yields a better fit to the measured skewness compared to the MF (dashed black line), but there is a slight ambiguity in recovering the exact BMF prediction due to the α dependence of the statistic (cf. solid, dashed blue lines and shaded blue region).