Probability density function (PDF) of density increments Δρ (in units of the mean density) at two separations within the scaling range, computed from 134 005 increments. Top: 49 h⁻¹ Mpc (α = 1.22, σ = 0.197). Middle: 146 h⁻¹ Mpc (α = 1.58, σ = 0.38). Bottom: Zoomed-in image of the core at 49 h⁻¹ Mpc. The blue points show the empirical PDFs, while the red curves correspond to best-fit Lévy-stable distributions. Both scales display non-Gaussian heavy tails, with α increasing with scale, suggesting a gradual trend towards Gaussian behaviour; the cores remain well described by symmetric Lévy-stable laws with μ ≈ 0.